What is the greatest common factor of 36 and 64?

The GCF of 36 and 64 is 4

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 the numbers have in common.

Method:

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 64 are 1, 2, 4, 8, 16, 32, and 64.

The common factors are 1, 2, and 4. Therefore, the greatest common factor is 4.
The GCF is 4.