What is the greatest common factor of 108 and 180?

Answer 1

The GCF of 108 and 180 is 36.

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

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 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108.

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.

The common factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Therefore, the greatest common factor is 36.