What is the greatest common factor of 84 112 and 210?

Answer 1

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 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112.

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.

The common factors are 1 2, 6, and 14.. Therefore, the greatest common factor is 14

Answer 2

The prime factors of 84 are 2, 2, 3, and 7

The prime factors of 112 are 2, 2, 2, 2, and 7.

The prime factors of 210 are 2, 3, 5, and 7.

The prime factors they all have in common are 2 and 7. Therefore, the greatest common factor is 2 x 7 = 14.