# What is The GCF of 72 and 24?

Greatest Common Factor is the largest possible number that divides the given numbers exactly without any remainder.

## Answer: GCF of 72 and 24 is 24

## Explanation:

We can find the GCF by using the Prime factorization Method, Listing the common factors method, and Long division Method.

### GCF of 72 and 24 by Prime Factorization

We represent 72 and 24 as a product of its prime numbers as following:

Prime factorization of 72 is 2 × 2 × 2 × 3 × 3

Prime factorization of 24 is 2 × 2 × 2 × 3

GCF of 72 and 24 is given by the product of the factors that are common to each of the given numbers which is 2 × 2 × 2 × 3 = 24

GCF(72,24) is 24

### GCF of 72 and 24 by Listing the Common Factors

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72

Factors of 24: 1, 2, 3, 4, 6, 8, 12 and 24

Common Factors of 72 and 24: 1, 2, 3, 4, 6, 8, 12 and 24 the biggest common factor is the GCF of 72 and 24.

GCF of 72 and 24 is 24.