# What is the GCF of 11 and 44?

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

## Answer: GCF of 11 and 44 is 11

We will explain two methods to find the GCF of 11 and 44

## Explanation:

The two methods that we are using to find GCF of 11 and 44 are shown below.

- GCF of 11 and 44 by Prime Factorization
- GCF of 11 and 44 by Listing the Common Factors

### Method 1: GCF of 11 and 44 by Prime Factorization

Represent 11 and 44 as a product of its prime factors.

Prime factorization of 11 is 11

Prime factorization of 44 is 2 × 2 × 11

The common factors in the prime factorization of 11 and 44 are 1 and 11

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

Since the common prime factor is 11, the GCF of 11 and 44 is 11

### Method 2: GCF of 11 and 44 by Listing the Common Factors

Factors of 11 and 44 are:

Factors of 11: 1, 11

Factors of 44: 1, 2, 4, 11, 22, 44

The common factors of 11 and 44 are 1 and 11

So, the GCF of 11 and 44 is 11

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