What is the greatest common factor of 42 and 96?

Answer 1

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 42 and 96 is 6

Answer 2

Express each number in terms of its prime factors.

96 = 2 x 2 x 2 x 2 x 2 x 3 = 25 x 3

72 = 2 x 2 x 2 x 3 x 3 = 23 x 32

The common factors are 23 and 3.

The highest common factor is 23 x 3 = 8 x 3 = 24

Answer 3

The GCF is 12.

Answer 4

It is: 6

Answer 5

12.