How do you find the greatest common factor of 20 and 36?

Answer 1

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

The factors of 20 are 1, 2, 4, 5, 10, and 20.

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 20 are 2, 2, and 5.

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.

The factors of 20 are:

1, 2, 4, 5, 10, 20

The factors of 36 are:

1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are:

1, 2, 4

The Greatest Common Factor:

GCF = 4

Answer 2

The factors of 20 are: 1, 2, 4, 5, 10, and 20.

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

The highest fator common to both is 4.