1 added
2 removed
Original
2026-01-01
Modified
2026-02-28
1
-
<p>130 Learners</p>
1
+
<p>159 Learners</p>
2
<p>Last updated on<strong>September 24, 2025</strong></p>
2
<p>Last updated on<strong>September 24, 2025</strong></p>
3
<p>The GCF is the largest number that can divide two or more numbers without leaving any remainder. GCF is used to share items equally, to group or arrange items, and to schedule events. In this topic, we will learn about the GCF of 18 and 25.</p>
3
<p>The GCF is the largest number that can divide two or more numbers without leaving any remainder. GCF is used to share items equally, to group or arrange items, and to schedule events. In this topic, we will learn about the GCF of 18 and 25.</p>
4
<h2>What is the GCF of 18 and 25?</h2>
4
<h2>What is the GCF of 18 and 25?</h2>
5
<p>The<a>greatest common factor</a><a>of</a>18 and 25 is 1. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the number.</p>
5
<p>The<a>greatest common factor</a><a>of</a>18 and 25 is 1. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the number.</p>
6
<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>
6
<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>
7
<h2>How to find the GCF of 18 and 25?</h2>
7
<h2>How to find the GCF of 18 and 25?</h2>
8
<p>To find the GCF of 18 and 25, a few methods are described below </p>
8
<p>To find the GCF of 18 and 25, a few methods are described below </p>
9
<ul><li>Listing Factors </li>
9
<ul><li>Listing Factors </li>
10
<li>Prime Factorization </li>
10
<li>Prime Factorization </li>
11
<li>Long Division Method / by Euclidean Algorithm</li>
11
<li>Long Division Method / by Euclidean Algorithm</li>
12
</ul><h3>GCF of 18 and 25 by Using Listing of Factors</h3>
12
</ul><h3>GCF of 18 and 25 by Using Listing of Factors</h3>
13
<p>Steps to find the GCF of 18 and 25 using the listing of<a>factors</a></p>
13
<p>Steps to find the GCF of 18 and 25 using the listing of<a>factors</a></p>
14
<p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 18 = 1, 2, 3, 6, 9, 18. Factors of 25 = 1, 5, 25.</p>
14
<p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 18 = 1, 2, 3, 6, 9, 18. Factors of 25 = 1, 5, 25.</p>
15
<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factor of 18 and 25: 1.</p>
15
<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factor of 18 and 25: 1.</p>
16
<p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 1. The GCF of 18 and 25 is 1.</p>
16
<p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 1. The GCF of 18 and 25 is 1.</p>
17
<h3>Explore Our Programs</h3>
17
<h3>Explore Our Programs</h3>
18
-
<p>No Courses Available</p>
19
<h3>GCF of 18 and 25 Using Prime Factorization</h3>
18
<h3>GCF of 18 and 25 Using Prime Factorization</h3>
20
<p>To find the GCF of 18 and 25 using the Prime Factorization method, follow these steps:</p>
19
<p>To find the GCF of 18 and 25 using the Prime Factorization method, follow these steps:</p>
21
<p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 18: 18 = 2 × 3 × 3 = 2 × 3² Prime Factors of 25: 25 = 5 × 5 = 5²</p>
20
<p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 18: 18 = 2 × 3 × 3 = 2 × 3² Prime Factors of 25: 25 = 5 × 5 = 5²</p>
22
<p><strong>Step 2:</strong>Now, identify the common prime factors There are no common prime factors.</p>
21
<p><strong>Step 2:</strong>Now, identify the common prime factors There are no common prime factors.</p>
23
<p><strong>Step 3:</strong>Multiply the common prime factors Since there are no common prime factors, the GCF is 1. The Greatest Common Factor of 18 and 25 is 1.</p>
22
<p><strong>Step 3:</strong>Multiply the common prime factors Since there are no common prime factors, the GCF is 1. The Greatest Common Factor of 18 and 25 is 1.</p>
24
<h3>GCF of 18 and 25 Using Division Method or Euclidean Algorithm Method</h3>
23
<h3>GCF of 18 and 25 Using Division Method or Euclidean Algorithm Method</h3>
25
<p>Find the GCF of 18 and 25 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
24
<p>Find the GCF of 18 and 25 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
26
<p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 25 by 18 25 ÷ 18 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 25 - (18×1) = 7 The remainder is 7, not zero, so continue the process</p>
25
<p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 25 by 18 25 ÷ 18 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 25 - (18×1) = 7 The remainder is 7, not zero, so continue the process</p>
27
<p><strong>Step 2:</strong>Now divide the previous divisor (18) by the previous remainder (7) Divide 18 by 7 18 ÷ 7 = 2 (quotient), remainder = 18 - (7×2) = 4 Continue the process</p>
26
<p><strong>Step 2:</strong>Now divide the previous divisor (18) by the previous remainder (7) Divide 18 by 7 18 ÷ 7 = 2 (quotient), remainder = 18 - (7×2) = 4 Continue the process</p>
28
<p><strong>Step 3:</strong>Now divide the previous divisor (7) by the previous remainder (4) Divide 7 by 4 7 ÷ 4 = 1 (quotient), remainder = 7 - (4×1) = 3 Continue the process</p>
27
<p><strong>Step 3:</strong>Now divide the previous divisor (7) by the previous remainder (4) Divide 7 by 4 7 ÷ 4 = 1 (quotient), remainder = 7 - (4×1) = 3 Continue the process</p>
29
<p><strong>Step 4:</strong>Now divide the previous divisor (4) by the previous remainder (3) Divide 4 by 3 4 ÷ 3 = 1 (quotient), remainder = 4 - (3×1) = 1 Continue the process</p>
28
<p><strong>Step 4:</strong>Now divide the previous divisor (4) by the previous remainder (3) Divide 4 by 3 4 ÷ 3 = 1 (quotient), remainder = 4 - (3×1) = 1 Continue the process</p>
30
<p><strong>Step 5:</strong>Now divide the previous divisor (3) by the previous remainder (1) Divide 3 by 1 3 ÷ 1 = 3 (quotient), remainder = 3 - (1×3) = 0 The remainder is zero, the divisor will become the GCF.</p>
29
<p><strong>Step 5:</strong>Now divide the previous divisor (3) by the previous remainder (1) Divide 3 by 1 3 ÷ 1 = 3 (quotient), remainder = 3 - (1×3) = 0 The remainder is zero, the divisor will become the GCF.</p>
31
<p>The GCF of 18 and 25 is 1.</p>
30
<p>The GCF of 18 and 25 is 1.</p>
32
<h2>Common Mistakes and How to Avoid Them in GCF of 18 and 25</h2>
31
<h2>Common Mistakes and How to Avoid Them in GCF of 18 and 25</h2>
33
<p>Finding GCF of 18 and 25 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>
32
<p>Finding GCF of 18 and 25 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>
34
<h3>Problem 1</h3>
33
<h3>Problem 1</h3>
35
<p>A farmer has 18 apple trees and 25 orange trees. He wants to arrange them in rows with the same number of trees in each row, with the maximum number of trees per row. How many trees will be in each row?</p>
34
<p>A farmer has 18 apple trees and 25 orange trees. He wants to arrange them in rows with the same number of trees in each row, with the maximum number of trees per row. How many trees will be in each row?</p>
36
<p>Okay, lets begin</p>
35
<p>Okay, lets begin</p>
37
<p>We should find the GCF of 18 and 25. The GCF of 18 and 25 is 1. There will be 1 tree in each row.</p>
36
<p>We should find the GCF of 18 and 25. The GCF of 18 and 25 is 1. There will be 1 tree in each row.</p>
38
<h3>Explanation</h3>
37
<h3>Explanation</h3>
39
<p>As the GCF of 18 and 25 is 1, the farmer can arrange the trees such that each row has 1 tree for both apple and orange trees.</p>
38
<p>As the GCF of 18 and 25 is 1, the farmer can arrange the trees such that each row has 1 tree for both apple and orange trees.</p>
40
<p>Well explained 👍</p>
39
<p>Well explained 👍</p>
41
<h3>Problem 2</h3>
40
<h3>Problem 2</h3>
42
<p>A baker has 18 loaves of whole wheat bread and 25 loaves of rye bread. He wants to pack them in bags containing the same number of loaves, with the largest number of loaves per bag. How many loaves will each bag contain?</p>
41
<p>A baker has 18 loaves of whole wheat bread and 25 loaves of rye bread. He wants to pack them in bags containing the same number of loaves, with the largest number of loaves per bag. How many loaves will each bag contain?</p>
43
<p>Okay, lets begin</p>
42
<p>Okay, lets begin</p>
44
<p>The GCF of 18 and 25 is 1. So each bag will have 1 loaf.</p>
43
<p>The GCF of 18 and 25 is 1. So each bag will have 1 loaf.</p>
45
<h3>Explanation</h3>
44
<h3>Explanation</h3>
46
<p>There are 18 loaves of whole wheat bread and 25 loaves of rye bread.</p>
45
<p>There are 18 loaves of whole wheat bread and 25 loaves of rye bread.</p>
47
<p>To find the total number of loaves in each bag, we should find the GCF of 18 and 25.</p>
46
<p>To find the total number of loaves in each bag, we should find the GCF of 18 and 25.</p>
48
<p>There will be 1 loaf in each bag.</p>
47
<p>There will be 1 loaf in each bag.</p>
49
<p>Well explained 👍</p>
48
<p>Well explained 👍</p>
50
<h3>Problem 3</h3>
49
<h3>Problem 3</h3>
51
<p>A painter has 18 red paint cans and 25 blue paint cans. He wants to use them in projects with the same number of cans, using the maximum possible number of cans per project. How many cans will each project use?</p>
50
<p>A painter has 18 red paint cans and 25 blue paint cans. He wants to use them in projects with the same number of cans, using the maximum possible number of cans per project. How many cans will each project use?</p>
52
<p>Okay, lets begin</p>
51
<p>Okay, lets begin</p>
53
<p>For calculating the maximum number of cans, we have to calculate the GCF of 18 and 25. The GCF of 18 and 25 is 1. Each project will use 1 can.</p>
52
<p>For calculating the maximum number of cans, we have to calculate the GCF of 18 and 25. The GCF of 18 and 25 is 1. Each project will use 1 can.</p>
54
<h3>Explanation</h3>
53
<h3>Explanation</h3>
55
<p>For calculating the maximum number of cans per project, first, we need to calculate the GCF of 18 and 25, which is 1.</p>
54
<p>For calculating the maximum number of cans per project, first, we need to calculate the GCF of 18 and 25, which is 1.</p>
56
<p>Each project will use 1 can.</p>
55
<p>Each project will use 1 can.</p>
57
<p>Well explained 👍</p>
56
<p>Well explained 👍</p>
58
<h3>Problem 4</h3>
57
<h3>Problem 4</h3>
59
<p>A tailor has two pieces of cloth, one 18 meters long and the other 25 meters long. She wants to cut them into the longest possible equal pieces, without any cloth left over. What should be the length of each piece?</p>
58
<p>A tailor has two pieces of cloth, one 18 meters long and the other 25 meters long. She wants to cut them into the longest possible equal pieces, without any cloth left over. What should be the length of each piece?</p>
60
<p>Okay, lets begin</p>
59
<p>Okay, lets begin</p>
61
<p>The tailor needs the longest piece of cloth. The GCF of 18 and 25 is 1. The longest length of each piece is 1 meter.</p>
60
<p>The tailor needs the longest piece of cloth. The GCF of 18 and 25 is 1. The longest length of each piece is 1 meter.</p>
62
<h3>Explanation</h3>
61
<h3>Explanation</h3>
63
<p>To find the longest length of each piece of the two cloths, 18 meters and 25 meters, respectively, we have to find the GCF of 18 and 25, which is 1 meter.</p>
62
<p>To find the longest length of each piece of the two cloths, 18 meters and 25 meters, respectively, we have to find the GCF of 18 and 25, which is 1 meter.</p>
64
<p>The longest length of each piece is 1 meter.</p>
63
<p>The longest length of each piece is 1 meter.</p>
65
<p>Well explained 👍</p>
64
<p>Well explained 👍</p>
66
<h3>Problem 5</h3>
65
<h3>Problem 5</h3>
67
<p>If the GCF of 18 and ‘b’ is 1, and the LCM is 450. Find ‘b’.</p>
66
<p>If the GCF of 18 and ‘b’ is 1, and the LCM is 450. Find ‘b’.</p>
68
<p>Okay, lets begin</p>
67
<p>Okay, lets begin</p>
69
<p>The value of ‘b’ is 25.</p>
68
<p>The value of ‘b’ is 25.</p>
70
<h3>Explanation</h3>
69
<h3>Explanation</h3>
71
<p>GCF × LCM = product of the numbers</p>
70
<p>GCF × LCM = product of the numbers</p>
72
<p>1 × 450 = 18 × b</p>
71
<p>1 × 450 = 18 × b</p>
73
<p>450 = 18b</p>
72
<p>450 = 18b</p>
74
<p>b = 450 ÷ 18</p>
73
<p>b = 450 ÷ 18</p>
75
<p>= 25</p>
74
<p>= 25</p>
76
<p>Well explained 👍</p>
75
<p>Well explained 👍</p>
77
<h2>FAQs on the Greatest Common Factor of 18 and 25</h2>
76
<h2>FAQs on the Greatest Common Factor of 18 and 25</h2>
78
<h3>1.What is the LCM of 18 and 25?</h3>
77
<h3>1.What is the LCM of 18 and 25?</h3>
79
<p>The LCM of 18 and 25 is 450.</p>
78
<p>The LCM of 18 and 25 is 450.</p>
80
<h3>2.Is 18 divisible by 2?</h3>
79
<h3>2.Is 18 divisible by 2?</h3>
81
<p>Yes, 18 is divisible by 2 because it is an even number.</p>
80
<p>Yes, 18 is divisible by 2 because it is an even number.</p>
82
<h3>3.What will be the GCF of any two prime numbers?</h3>
81
<h3>3.What will be the GCF of any two prime numbers?</h3>
83
<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>
82
<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>
84
<h3>4.What is the prime factorization of 25?</h3>
83
<h3>4.What is the prime factorization of 25?</h3>
85
<p>The prime factorization of 25 is 5².</p>
84
<p>The prime factorization of 25 is 5².</p>
86
<h3>5.Are 18 and 25 prime numbers?</h3>
85
<h3>5.Are 18 and 25 prime numbers?</h3>
87
<p>No, 18 and 25 are not prime numbers because both of them have more than two factors.</p>
86
<p>No, 18 and 25 are not prime numbers because both of them have more than two factors.</p>
88
<h2>Important Glossaries for GCF of 18 and 25</h2>
87
<h2>Important Glossaries for GCF of 18 and 25</h2>
89
<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 18 are 1, 2, 3, 6, 9, and 18.</li>
88
<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 18 are 1, 2, 3, 6, 9, and 18.</li>
90
</ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its basic prime factors. For example, the prime factorization of 18 is 2 × 3².</li>
89
</ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its basic prime factors. For example, the prime factorization of 18 is 2 × 3².</li>
91
</ul><ul><li><strong>Co-prime Numbers:</strong>Two numbers that have only 1 as their greatest common factor. For example, 18 and 25 are co-prime.</li>
90
</ul><ul><li><strong>Co-prime Numbers:</strong>Two numbers that have only 1 as their greatest common factor. For example, 18 and 25 are co-prime.</li>
92
</ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 25 is divided by 18, the remainder is 7.</li>
91
</ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 25 is divided by 18, the remainder is 7.</li>
93
</ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 18 and 25 is 450.</li>
92
</ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 18 and 25 is 450.</li>
94
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
93
</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
95
<p>▶</p>
94
<p>▶</p>
96
<h2>Hiralee Lalitkumar Makwana</h2>
95
<h2>Hiralee Lalitkumar Makwana</h2>
97
<h3>About the Author</h3>
96
<h3>About the Author</h3>
98
<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>
97
<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>
99
<h3>Fun Fact</h3>
98
<h3>Fun Fact</h3>
100
<p>: She loves to read number jokes and games.</p>
99
<p>: She loves to read number jokes and games.</p>