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# What is the greatest common factor of 36 and 90?

Updated: 4/28/2022

Wiki User

6y ago

The greatest common factor of 36 and 90 is 18.

The common factors of 36 and 90 are 1, 2, 3, 6, 9, and 18.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

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

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

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.

The common factors are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor is 18.

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 90 are 2, 3, 3, and 5.

The prime factors in common are 2, 3, and 3, so the greatest common factor is 2 x 3 x 3 = 18.

Wiki User

6y ago

Wiki User

10y ago

18 is.

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### What is the greatest common factor of 18 and 90?

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