# What is the GCF of 22 and 44?

GCF of two numbers 22 and 44 is the largest possible whole number which divides both the numbers exactly without any remainder.

## Answer: GCF of 22 and 44 is 22

Let us find GCF of 22 and 44

## Explanation:

The greatest common factor (GCF) of two numbers is the largest whole number which divides both the numbers exactly without any remainder. It is also called the highest common factor (HCF).

We will use the following two methods to find the GCF of 22 and 44.

- GCF of 22 and 44 by Prime factorization Method
- GCF of 22 and 44 by Listing Method

### Method 1: Find GCF of 22 and 44 by Prime Factorization

In this method, we express 22 and 44 as a product of its prime factors.

Prime factorization of 22 is 2 × 11

Prime factorization of 44 is 2 × 2 × 11

The common factor of 22 and 44 are 2 and 11

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

GCF of 22 and 44 is 2 × 11 = 22

### Method 2: GCF of 22 and 44 by Listing the Common Factors

In this method, we list all the factors of 22 and 44, then identify the common factors.

The highest among the common factors is the GCF of 22 and 44.

The factors of 22 are 1, 2, 11, 22

The factors of 44 are 1, 2, 4, 11, 22, 44.

Common Factors of 22 and 44: 1, 2, 11, 22.

Greatest common factor= 22

GCF (22, 44) is 22

Irrespective of the method, the solution to our question GCF of 22 and 44 is the same as 22.