# What is the GCF of 16 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 16 and 44 is 4

We will explain two methods to find the GCF of 16 and 44

## Explanation:

The two methods that we are using to find GCF of 16 and 44 are shown below.

- GCF of 16 and 44 by Listing the Common Factors
- GCF of 16 and 44 by Prime Factorization

### Method 1: GCF of 16 and 44 by Listing the Common Factors

The factors of 16 and 44 are shown below.

The common factors of 16 and 44 are 1, 2, and 4

Clearly, the greatest common factor is 4

So, GCF of 16 and 44 is 4

### Method 2: GCF of 16 and 44 by Prime Factorization

We will represent 16 and 44 as a product of their prime factors.

Prime factorization of 16 is 2 × 2 × 2 × 2

Prime factorization of 44 is 2 × 2 × 11

Common prime factors are 2 and 2

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

GCF of 16 and 44 is 2 × 2 = 4

Irrespective of the method, the solution to our question GCF of 16 and 44 is the same.