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# What is the greatest common factor of 36 and 121?

The GCF of 36 and 121 is 1.

One way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The 9 factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

The 3 factors of 121 are 1, 11, and 121.

The only common factor is 1. Therefore, the greatest common factor is 1.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 36 are 2, 2, 3, and 3.

The prime factors of 121 are 11 and 11.

There are no prime factors in common, so the numbers are relatively prime, meaning the greatest common factor is 1.

Summary of Results:

The common factors are a single 1.

The 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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The greatest factor of 36 is 36, and the greatest factor of 121 is 121. The Greatest common factor of 36 and 121 is 1. GCF of 36 and 121 is 1.  Earn +20 pts  