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# What are the common factors and greatest common factor of 1?

There is neither a greatest common factor nor common factors of a single number, such as ??, 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 1 and 3 are only 1; the greatest common factor is 1.

The common factors of 1 and 111 are only 1; the greatest common factor is 1.

Note: Since the only factor of 1 is 1, when finding the greatest common factor of 1 and another number, the only possible common factor and greatest common factor is 1. 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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