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2026-01-01
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<p>Last updated on<strong>September 25, 2025</strong></p>
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<p>Last updated on<strong>September 25, 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 66 and 90.</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 66 and 90.</p>
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<h2>What is the GCF of 66 and 90?</h2>
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<h2>What is the GCF of 66 and 90?</h2>
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<p>The<a>greatest common factor</a>of 66 and 90 is 6. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the number.</p>
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<p>The<a>greatest common factor</a>of 66 and 90 is 6. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the number.</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 66 and 90?</h2>
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<h2>How to find the GCF of 66 and 90?</h2>
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<p>To find the GCF of 66 and 90, a few methods are described below</p>
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<p>To find the GCF of 66 and 90, 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 66 and 90 by Using Listing of Factors</h3>
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</ul><h3>GCF of 66 and 90 by Using Listing of Factors</h3>
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<p>Steps to find the GCF of 66 and 90 using the listing of<a>factors</a>:</p>
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<p>Steps to find the GCF of 66 and 90 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 66 = 1, 2, 3, 6, 11, 22, 33, 66. Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.</p>
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<p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66. Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.</p>
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<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 66 and 90: 1, 2, 3, 6.</p>
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<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 66 and 90: 1, 2, 3, 6.</p>
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<p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 6. The GCF of 66 and 90 is 6.</p>
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<p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 6. The GCF of 66 and 90 is 6.</p>
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<h3>GCF of 66 and 90 Using Prime Factorization</h3>
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<h3>GCF of 66 and 90 Using Prime Factorization</h3>
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<p>To find the GCF of 66 and 90 using Prime Factorization Method, follow these steps:</p>
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<p>To find the GCF of 66 and 90 using Prime Factorization Method, follow these steps:</p>
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<p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 66: 66 = 2 × 3 × 11 Prime Factors of 90: 90 = 2 × 3 × 3 × 5</p>
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<p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 66: 66 = 2 × 3 × 11 Prime Factors of 90: 90 = 2 × 3 × 3 × 5</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factors are: 2 × 3</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factors are: 2 × 3</p>
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<p><strong>Step 3:</strong>Multiply the common prime factors 2 × 3 = 6. The Greatest Common Factor of 66 and 90 is 6.</p>
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<p><strong>Step 3:</strong>Multiply the common prime factors 2 × 3 = 6. The Greatest Common Factor of 66 and 90 is 6.</p>
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<h3>GCF of 66 and 90 Using Division Method or Euclidean Algorithm Method</h3>
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<h3>GCF of 66 and 90 Using Division Method or Euclidean Algorithm Method</h3>
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<p>Find the GCF of 66 and 90 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
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<p>Find the GCF of 66 and 90 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 90 by 66 90 ÷ 66 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 90 - (66×1) = 24 The remainder is 24, 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 90 by 66 90 ÷ 66 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 90 - (66×1) = 24 The remainder is 24, not zero, so continue the process</p>
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<p><strong>Step 2:</strong>Now divide the previous divisor (66) by the previous remainder (24) Divide 66 by 24 66 ÷ 24 = 2 (quotient), remainder = 66 - (24×2) = 18 The remainder is 18, not zero, so continue the process</p>
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<p><strong>Step 2:</strong>Now divide the previous divisor (66) by the previous remainder (24) Divide 66 by 24 66 ÷ 24 = 2 (quotient), remainder = 66 - (24×2) = 18 The remainder is 18, not zero, so continue the process</p>
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<p><strong>Step 3:</strong>Now divide the previous divisor (24) by the previous remainder (18) Divide 24 by 18 24 ÷ 18 = 1 (quotient), remainder = 24 - (18×1) = 6 The remainder is 6, not zero, so continue the process</p>
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<p><strong>Step 3:</strong>Now divide the previous divisor (24) by the previous remainder (18) Divide 24 by 18 24 ÷ 18 = 1 (quotient), remainder = 24 - (18×1) = 6 The remainder is 6, not zero, so continue the process</p>
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<p><strong>Step 4:</strong>Now divide the previous divisor (18) by the previous remainder (6) Divide 18 by 6 18 ÷ 6 = 3 (quotient), remainder = 18 - (6×3) = 0</p>
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<p><strong>Step 4:</strong>Now divide the previous divisor (18) by the previous remainder (6) Divide 18 by 6 18 ÷ 6 = 3 (quotient), remainder = 18 - (6×3) = 0</p>
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<p>The remainder is zero, so the divisor will become the GCF. The GCF of 66 and 90 is 6.</p>
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<p>The remainder is zero, so the divisor will become the GCF. The GCF of 66 and 90 is 6.</p>
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<h2>Common Mistakes and How to Avoid Them in GCF of 66 and 90</h2>
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<h2>Common Mistakes and How to Avoid Them in GCF of 66 and 90</h2>
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<p>Finding the GCF of 66 and 90 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 66 and 90 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 florist has 66 roses and 90 tulips. She wants to create bouquets with the same number of flowers in each, using the largest number of flowers possible. How many flowers will be in each bouquet?</p>
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<p>A florist has 66 roses and 90 tulips. She wants to create bouquets with the same number of flowers in each, using the largest number of flowers possible. How many flowers will be in each bouquet?</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 66 and 90 GCF of 66 and 90 2 × 3 = 6. There are 6 equal bouquets 66 ÷ 6 = 11 90 ÷ 6 = 15 There will be 6 bouquets, and each bouquet gets 11 roses and 15 tulips.</p>
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<p>We should find the GCF of 66 and 90 GCF of 66 and 90 2 × 3 = 6. There are 6 equal bouquets 66 ÷ 6 = 11 90 ÷ 6 = 15 There will be 6 bouquets, and each bouquet gets 11 roses and 15 tulips.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>As the GCF of 66 and 90 is 6, the florist can make 6 bouquets.</p>
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<p>As the GCF of 66 and 90 is 6, the florist can make 6 bouquets.</p>
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<p>Now divide 66 and 90 by 6.</p>
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<p>Now divide 66 and 90 by 6.</p>
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<p>Each bouquet gets 11 roses and 15 tulips.</p>
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<p>Each bouquet gets 11 roses and 15 tulips.</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 chef has 66 chocolate bars and 90 marshmallows. He wants to create dessert plates with the same number of treats on each plate, using the largest number of treats possible. How many treats will be on each plate?</p>
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<p>A chef has 66 chocolate bars and 90 marshmallows. He wants to create dessert plates with the same number of treats on each plate, using the largest number of treats possible. How many treats will be on each plate?</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 66 and 90 2 × 3 = 6. So each plate will have 6 treats.</p>
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<p>GCF of 66 and 90 2 × 3 = 6. So each plate will have 6 treats.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>There are 66 chocolate bars and 90 marshmallows.</p>
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<p>There are 66 chocolate bars and 90 marshmallows.</p>
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<p>To find the total number of treats in each plate, we should find the GCF of 66 and 90.</p>
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<p>To find the total number of treats in each plate, we should find the GCF of 66 and 90.</p>
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<p>There will be 6 treats on each plate.</p>
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<p>There will be 6 treats on each plate.</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 seamstress has 66 meters of silk fabric and 90 meters of cotton fabric. She wants to cut both fabrics 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 seamstress has 66 meters of silk fabric and 90 meters of cotton fabric. She wants to cut both fabrics 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 66 and 90 The GCF of 66 and 90 2 × 3 = 6. The fabric pieces are 6 meters long.</p>
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<p>For calculating the longest equal length, we have to calculate the GCF of 66 and 90 The GCF of 66 and 90 2 × 3 = 6. The fabric pieces are 6 meters long.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To calculate the longest length of the fabric, first, we need to calculate the GCF of 66 and 90, which is 6.</p>
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<p>To calculate the longest length of the fabric, first, we need to calculate the GCF of 66 and 90, which is 6.</p>
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<p>The length of each piece of fabric will be 6 meters.</p>
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<p>The length of each piece of fabric will be 6 meters.</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 66 cm long and the other 90 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 66 cm long and the other 90 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 66 and 90 2 × 3 = 6. The longest length of each piece is 6 cm.</p>
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<p>The carpenter needs the longest piece of wood GCF of 66 and 90 2 × 3 = 6. The longest length of each piece is 6 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, 66 cm and 90 cm, respectively, we have to find the GCF of 66 and 90, which is 6 cm.</p>
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<p>To find the longest length of each piece of the two wooden planks, 66 cm and 90 cm, respectively, we have to find the GCF of 66 and 90, which is 6 cm.</p>
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<p>The longest length of each piece is 6 cm.</p>
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<p>The longest length of each piece is 6 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 66 and ‘b’ is 6, and the LCM is 990, find ‘b’.</p>
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<p>If the GCF of 66 and ‘b’ is 6, and the LCM is 990, 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 90.</p>
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<p>The value of ‘b’ is 90.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>GCF × LCM = product of the numbers</p>
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<p>GCF × LCM = product of the numbers</p>
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<p>6 × 990 = 66 × b</p>
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<p>6 × 990 = 66 × b</p>
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<p>5940 = 66b</p>
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<p>5940 = 66b</p>
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<p>b = 5940 ÷ 66</p>
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<p>b = 5940 ÷ 66</p>
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<p>= 90</p>
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<p>= 90</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 66 and 90</h2>
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<h2>FAQs on the Greatest Common Factor of 66 and 90</h2>
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<h3>1.What is the LCM of 66 and 90?</h3>
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<h3>1.What is the LCM of 66 and 90?</h3>
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<p>The LCM of 66 and 90 is 990.</p>
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<p>The LCM of 66 and 90 is 990.</p>
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<h3>2.Is 66 divisible by 2?</h3>
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<h3>2.Is 66 divisible by 2?</h3>
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<p>Yes, 66 is divisible by 2 because it is an even number.</p>
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<p>Yes, 66 is divisible by 2 because it is an even number.</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 90?</h3>
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<h3>4.What is the prime factorization of 90?</h3>
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<p>The prime factorization of 90 is 2 × 3 × 3 × 5.</p>
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<p>The prime factorization of 90 is 2 × 3 × 3 × 5.</p>
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<h3>5.Are 66 and 90 prime numbers?</h3>
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<h3>5.Are 66 and 90 prime numbers?</h3>
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<p>No, 66 and 90 are not prime numbers because both of them have more than two factors.</p>
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<p>No, 66 and 90 are not prime numbers because both of them have more than two factors.</p>
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<h2>Important Glossaries for GCF of 66 and 90</h2>
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<h2>Important Glossaries for GCF of 66 and 90</h2>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.</li>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.</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, 15, 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, 15, 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 18 are 2 and 3.</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 18 are 2 and 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 5, the remainder is 4 and the quotient is 2.</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 5, the remainder is 4 and the quotient is 2.</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 8 and 12 is 24.</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 8 and 12 is 24.</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>