# Find the GCF of 24 and 44?

The largest possible number which divides the given numbers exactly without leaving any remainder is called the GCF (Greatest Common Factor).

## Answer: GCF of 24 and 44 is 4

We will explain two methods to find the GCF of 24 and 44

**Explanation:**

The two methods that we are using to find GCF of 24 and 44 are shown below.

- GCF of 24 and 44 by Prime Factorization
- GCF of 24 and 44 by Listing the Common Factors

### Method 1: Find GCF of 24 and 44 by Prime Factorization

Represent 24 and 44 as a product of its prime factors.

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

Prime factorization of 44 is 2 × 2 × 11

The common factors in the prime factorization of 24 and 44 are 2 and 2

GCF is the product of the prime factors that are common to each of the given numbers.

So, GCF of 24 and 44 is 2 × 2 = 4

### Method 2: Find GCF of 24 and 44 by Listing the Common Factors

The factors of 24 and 44 are shown below.

The common factors of 24 and 44 are 1, 2, and 4

The highest common factor of 24 and 44 is 4

You can find the GCF in any of the above methods but the solution will be the same.