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All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. If you compare the lists of factors, you will see which ones are common.
Example: 30 and 42
1, 2, 3, 5, 6, 10, 15, 30
1, 2, 3, 6, 7, 14, 21, 42

The common factors are 1, 2, 3, 6

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11y ago
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7y ago

One way is to list them.

The factors of 30 are:

1, 2, 3, 5, 6, 10, 15, 30

The factors of 42 are:

1, 2, 3, 6, 7, 14, 21, 42

The common factors are:

1, 2, 3, 6

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Wiki User

12y ago

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

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Wiki User

12y ago

Factor two numbers. Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

This answer is:
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Do factor trees always work for determining the greatest common factors?

If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.


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Most Common Factor, Greatest Common Factor, Highest Common Factor... all the same thing.


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