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Algebra
Factoring and Multiples

What are the common factors and greatest common factor of 4?

Answer

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May 16, 2009 4:34AM

There is neither a greatest common factor nor common factors of a single number, such as 4, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.

The factors of 4 are 1, 2, and 4.

The prime factors of 4 are 2 and 2.

Examples:

The common factors of 4 and 36 are 1, 2, and 4; the greatest common factor is 4.

The common factors of 4 and 54 are 1 and 2; the greatest common factor is 2.