What is the greatest common factor of 8 and 36?

Answer 1

The greatest common factor of 8 and 36 is 4.

The common factors of 8 and 36 are 1, 2, and 4.

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

The factors of 8 are 1, 2, 4, and 8.

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

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

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

The prime factors of 8 are 2, 2, and 2.

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

The prime factors in common are 2 and 2, so the greatest common factor is 2 x 2 = 4.

Answer 2

4 is.