List them.
Example: 30 and 42
1, 2, 3, 5, 6, 10, 15, 30
1, 2, 3, 6, 7, 14, 21, 42
The numbers on both lists are the common factors: 1, 2, 3 and 6.
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24 and 25 have no common factor, other than one. There can be only one "greatest". There are two ways to solve for the greatest common factor. One way is to solve is to find the common prime factors and multiply them. So 24 = 2*2*2*3 and 25 = 5*5 Since they do not have common prime factors they do not have a GCF. Another way to solve it (just to reassure you) is to list the factors. 1. 24: 1, 2, 3, 4, 6, 8, 12, 24 25: 1, 5, 25 2. Again, you see they don't have a common factor. So technically the greatest common factor is 1.
List the factors. The factors of 21 are: 1, 3, 7, 21 The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24 The factors of 27 are: 1, 3, 9, 27 The common factors are: 1, 3 The Greatest Common Factor: GCF = 3
The greatest common factor is the largest of the common factors.
The greatest common factor of 8 and 52 is 4The factors of 52 are 1, 2, 4, 13, 26, and 52.The factors of 8 are 1, 2, 4, and 8.The greatest common factor is 4.You can also solve it by looking at the prime factors.The prime factors of 52 are 2, 2, and 13.The prime factors of 8 are 2, 2, 2, and 2.The common factors are 2 and 2, so the greatest common factor is 2 x 2 = 4.
3 is the only oneTo solve this question first express 24 and 15 as prime factors:24 = 2 * 2 * 2 * 315 = 5 * 3Immediately it can be seen that the only common factor between the two numbers is 3.1 and 3.