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2026-01-01
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<p>Last updated on<strong>September 9, 2025</strong></p>
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<p>Last updated on<strong>September 9, 2025</strong></p>
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<p>The GCF is the largest number that can divide two or more numbers without leaving any remainder. GCF is used to share the items equally, to group or arrange items, and schedule events. In this topic, we will learn about the GCF of 25 and 36.</p>
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<p>The GCF is the largest number that can divide two or more numbers without leaving any remainder. GCF is used to share the items equally, to group or arrange items, and schedule events. In this topic, we will learn about the GCF of 25 and 36.</p>
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<h2>What is the GCF of 25 and 36?</h2>
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<h2>What is the GCF of 25 and 36?</h2>
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<p>The<a>greatest common factor</a>of 25 and 36 is 1. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the numbers.</p>
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<p>The<a>greatest common factor</a>of 25 and 36 is 1. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the numbers.</p>
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<p>If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1. The GCF of two numbers cannot be negative because divisors are always positive.</p>
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<p>If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1. The GCF of two numbers cannot be negative because divisors are always positive.</p>
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<h2>How to find the GCF of 25 and 36?</h2>
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<h2>How to find the GCF of 25 and 36?</h2>
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<p>To find the GCF of 25 and 36, a few methods are described below </p>
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<p>To find the GCF of 25 and 36, a few methods are described below </p>
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<ul><li>Listing Factors </li>
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<ul><li>Listing Factors </li>
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<li>Prime Factorization </li>
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<li>Prime Factorization </li>
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<li>Long Division Method / by Euclidean Algorithm</li>
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<li>Long Division Method / by Euclidean Algorithm</li>
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</ul><h3>GCF of 25 and 36 by Using Listing of factors</h3>
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</ul><h3>GCF of 25 and 36 by Using Listing of factors</h3>
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<p>Steps to find the GCF of 25 and 36 using the listing of<a>factors</a></p>
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<p>Steps to find the GCF of 25 and 36 using the listing of<a>factors</a></p>
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<p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 25 = 1, 5, 25. Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36.</p>
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<p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 25 = 1, 5, 25. Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36.</p>
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<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 25 and 36: 1.<strong></strong></p>
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<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 25 and 36: 1.<strong></strong></p>
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<p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 1. The GCF of 25 and 36 is 1.</p>
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<p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 1. The GCF of 25 and 36 is 1.</p>
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<h3>GCF of 25 and 36 Using Prime Factorization</h3>
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<h3>GCF of 25 and 36 Using Prime Factorization</h3>
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<p>To find the GCF of 25 and 36 using the Prime Factorization Method, follow these steps:<strong></strong></p>
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<p>To find the GCF of 25 and 36 using the Prime Factorization Method, follow these steps:<strong></strong></p>
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<p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 25: 25 = 5 x 5 = 5² Prime Factors of 36: 36 = 2 x 2 x 3 x 3 = 2² x 3²</p>
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<p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 25: 25 = 5 x 5 = 5² Prime Factors of 36: 36 = 2 x 2 x 3 x 3 = 2² x 3²</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors There are no common prime factors.</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors There are no common prime factors.</p>
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<p><strong>Step 3:</strong>Since there are no common prime factors, the GCF is 1. The Greatest Common Factor of 25 and 36 is 1.</p>
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<p><strong>Step 3:</strong>Since there are no common prime factors, the GCF is 1. The Greatest Common Factor of 25 and 36 is 1.</p>
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<h3>GCF of 25 and 36 Using Division Method or Euclidean Algorithm Method</h3>
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<h3>GCF of 25 and 36 Using Division Method or Euclidean Algorithm Method</h3>
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<p>Find the GCF of 25 and 36 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
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<p>Find the GCF of 25 and 36 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
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<p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 36 by 25 36 ÷ 25 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 36 - (25×1) = 11 The remainder is 11, not zero, so continue the process</p>
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<p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 36 by 25 36 ÷ 25 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 36 - (25×1) = 11 The remainder is 11, not zero, so continue the process</p>
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<p><strong>Step 2:</strong>Now divide the previous divisor (25) by the previous remainder (11) 25 ÷ 11 = 2 (quotient), remainder = 25 - (11×2) = 3<strong></strong></p>
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<p><strong>Step 2:</strong>Now divide the previous divisor (25) by the previous remainder (11) 25 ÷ 11 = 2 (quotient), remainder = 25 - (11×2) = 3<strong></strong></p>
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<p><strong>Step 3:</strong>Now divide the previous divisor (11) by the previous remainder (3) 11 ÷ 3 = 3 (quotient), remainder = 11 - (3×3) = 2<strong></strong></p>
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<p><strong>Step 3:</strong>Now divide the previous divisor (11) by the previous remainder (3) 11 ÷ 3 = 3 (quotient), remainder = 11 - (3×3) = 2<strong></strong></p>
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<p><strong>Step 4:</strong>Now divide the previous divisor (3) by the previous remainder (2) 3 ÷ 2 = 1 (quotient), remainder = 3 - (2×1) = 1</p>
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<p><strong>Step 4:</strong>Now divide the previous divisor (3) by the previous remainder (2) 3 ÷ 2 = 1 (quotient), remainder = 3 - (2×1) = 1</p>
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<p><strong>Step 5:</strong>Finally, divide the previous divisor (2) by the previous remainder (1) 2 ÷ 1 = 2 (quotient), remainder = 2 - (1×2) = 0 The remainder is zero, the divisor will become the GCF. The GCF of 25 and 36 is 1.</p>
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<p><strong>Step 5:</strong>Finally, divide the previous divisor (2) by the previous remainder (1) 2 ÷ 1 = 2 (quotient), remainder = 2 - (1×2) = 0 The remainder is zero, the divisor will become the GCF. The GCF of 25 and 36 is 1.</p>
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<h2>Common Mistakes and How to Avoid Them in GCF of 25 and 36</h2>
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<h2>Common Mistakes and How to Avoid Them in GCF of 25 and 36</h2>
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<p>Finding the GCF of 25 and 36 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>
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<p>Finding the GCF of 25 and 36 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>A gardener has 25 tulips and 36 roses. She wants to plant them in equal-sized groups, with the largest number of flowers in each group. How many flowers will be in each group?</p>
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<p>A gardener has 25 tulips and 36 roses. She wants to plant them in equal-sized groups, with the largest number of flowers in each group. How many flowers will be in each group?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>We should find the GCF of 25 and 36 GCF of 25 and 36 is 1.</p>
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<p>We should find the GCF of 25 and 36 GCF of 25 and 36 is 1.</p>
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<p>So, each group will have 1 flower.</p>
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<p>So, each group will have 1 flower.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>As the GCF of 25 and 36 is 1, the gardener can plant them in groups of 1 flower each.</p>
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<p>As the GCF of 25 and 36 is 1, the gardener can plant them in groups of 1 flower each.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>A school has 25 red markers and 36 blue markers. They want to place them in rows with the same number of markers in each row, using the largest possible number of markers per row. How many markers will be in each row?</p>
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<p>A school has 25 red markers and 36 blue markers. They want to place them in rows with the same number of markers in each row, using the largest possible number of markers per row. How many markers will be in each row?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>GCF of 25 and 36 is 1. So each row will have 1 marker.</p>
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<p>GCF of 25 and 36 is 1. So each row will have 1 marker.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>There are 25 red and 36 blue markers.</p>
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<p>There are 25 red and 36 blue markers.</p>
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<p>To find the total number of markers in each row, we should find the GCF of 25 and 36.</p>
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<p>To find the total number of markers in each row, we should find the GCF of 25 and 36.</p>
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<p>Each row will have 1 marker.</p>
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<p>Each row will have 1 marker.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>A tailor has 25 meters of silk ribbon and 36 meters of cotton ribbon. She wants to cut both ribbons into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>
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<p>A tailor has 25 meters of silk ribbon and 36 meters of cotton ribbon. She wants to cut both ribbons into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>For calculating the longest equal length, we have to calculate the GCF of 25 and 36 The GCF of 25 and 36 is 1. The ribbon is 1 meter long.</p>
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<p>For calculating the longest equal length, we have to calculate the GCF of 25 and 36 The GCF of 25 and 36 is 1. The ribbon is 1 meter long.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>For calculating the longest length of the ribbon, first, we need to calculate the GCF of 25 and 36, which is 1.</p>
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<p>For calculating the longest length of the ribbon, first, we need to calculate the GCF of 25 and 36, which is 1.</p>
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<p>The length of each piece of the ribbon will be 1 meter.</p>
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<p>The length of each piece of the ribbon will be 1 meter.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>A carpenter has two wooden planks, one 25 cm long and the other 36 cm long. He wants to cut them into the longest possible equal pieces, without any wood left over. What should be the length of each piece?</p>
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<p>A carpenter has two wooden planks, one 25 cm long and the other 36 cm long. He wants to cut them into the longest possible equal pieces, without any wood left over. What should be the length of each piece?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The carpenter needs the longest piece of wood GCF of 25 and 36 is 1.</p>
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<p>The carpenter needs the longest piece of wood GCF of 25 and 36 is 1.</p>
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<p>The longest length of each piece is 1 cm.</p>
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<p>The longest length of each piece is 1 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the longest length of each piece of the two wooden planks, 25 cm and 36 cm respectively, we have to find the GCF of 25 and 36, which is 1 cm.</p>
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<p>To find the longest length of each piece of the two wooden planks, 25 cm and 36 cm respectively, we have to find the GCF of 25 and 36, which is 1 cm.</p>
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<p>The longest length of each piece is 1 cm.</p>
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<p>The longest length of each piece is 1 cm.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>If the GCF of 25 and ‘b’ is 1, and the LCM is 900. Find ‘b’.</p>
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<p>If the GCF of 25 and ‘b’ is 1, and the LCM is 900. Find ‘b’.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The value of ‘b’ is 36.</p>
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<p>The value of ‘b’ is 36.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>GCF x LCM = product of the numbers</p>
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<p>GCF x LCM = product of the numbers</p>
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<p>1 × 900</p>
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<p>1 × 900</p>
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<p>= 25 × b 900</p>
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<p>= 25 × b 900</p>
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<p>= 25b b</p>
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<p>= 25b b</p>
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<p>= 900 ÷ 25 = 36</p>
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<p>= 900 ÷ 25 = 36</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on the Greatest Common Factor of 25 and 36</h2>
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<h2>FAQs on the Greatest Common Factor of 25 and 36</h2>
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<h3>1.What is the LCM of 25 and 36?</h3>
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<h3>1.What is the LCM of 25 and 36?</h3>
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<p>The LCM of 25 and 36 is 900.</p>
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<p>The LCM of 25 and 36 is 900.</p>
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<h3>2.Is 25 divisible by 5?</h3>
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<h3>2.Is 25 divisible by 5?</h3>
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<p>Yes, 25 is divisible by 5 because it is a multiple of 5.</p>
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<p>Yes, 25 is divisible by 5 because it is a multiple of 5.</p>
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<h3>3.What will be the GCF of any two prime numbers?</h3>
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<h3>3.What will be the GCF of any two prime numbers?</h3>
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<p>The common factor of<a>prime numbers</a>is 1 and the number itself. Since 1 is the only common factor of any two prime numbers, it is said to be the GCF of any two prime numbers.</p>
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<p>The common factor of<a>prime numbers</a>is 1 and the number itself. Since 1 is the only common factor of any two prime numbers, it is said to be the GCF of any two prime numbers.</p>
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<h3>4.What is the prime factorization of 36?</h3>
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<h3>4.What is the prime factorization of 36?</h3>
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<p>The prime factorization of 36 is 2² x 3².</p>
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<p>The prime factorization of 36 is 2² x 3².</p>
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<h3>5.Are 25 and 36 prime numbers?</h3>
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<h3>5.Are 25 and 36 prime numbers?</h3>
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<p>No, 25 and 36 are not prime numbers because both of them have more than two factors.</p>
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<p>No, 25 and 36 are not prime numbers because both of them have more than two factors.</p>
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<h2>Important Glossaries for GCF of 25 and 36</h2>
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<h2>Important Glossaries for GCF of 25 and 36</h2>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 10 are 1, 2, 5, and 10.</li>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 10 are 1, 2, 5, and 10.</li>
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</ul><ul><li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 3 are 3, 6, 9, 12, and so on.</li>
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</ul><ul><li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 3 are 3, 6, 9, 12, and so on.</li>
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</ul><ul><li><strong>Prime Factors:</strong>These are the factors of a number that are prime numbers and divide the given number completely. For example, the prime factors of 20 are 2 and 5.</li>
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</ul><ul><li><strong>Prime Factors:</strong>These are the factors of a number that are prime numbers and divide the given number completely. For example, the prime factors of 20 are 2 and 5.</li>
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</ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 14 is divided by 4, the remainder is 2 and the quotient is 3.</li>
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</ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 14 is divided by 4, the remainder is 2 and the quotient is 3.</li>
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</ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 5 and 7 is 35.</li>
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</ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 5 and 7 is 35.</li>
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</ul><ul><li><strong>GCF:</strong>The largest factor that commonly divides two or more numbers. For example, the GCF of 15 and 25 will be 5, as it is their largest common factor that divides the numbers completely.</li>
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</ul><ul><li><strong>GCF:</strong>The largest factor that commonly divides two or more numbers. For example, the GCF of 15 and 25 will be 5, as it is their largest common factor that divides the numbers completely.</li>
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</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>
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<p>: She loves to read number jokes and games.</p>