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# What are the common factors and greatest common factor of 23?

Short answer: There are none.

There is neither a greatest common factor nor common factors of a single number, such as 23, 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.

Examples:

The common factors of 23 and 25 are only 1; the greatest common factor is 1.

The common factors of 23 and 69 are 1 and 23; the greatest common factor is 23.

The common factors of 23 and 75 are only 1; the greatest common factor is 1.
The factors of 23 are 1 and 23. For them to be common, they need to be compared to another set of factors. Study guides

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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