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what is a greatest common factor?

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The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the primefactors of each number. Multiply those factors both numbers have in common.
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It is the biggest number that two numbers are divisible by.
For example, if you did 12 and 24
The factors of 12 are:
1, 2, 3, 4, 6, 12
The factors of 24 are:
1, 2, 3, 4, 6, 8, 12, and 24
Their greatest common factor would be 12 since, it is the greatest number that each number can be divisible by.