# What is the GCF of 16 and 40?

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

## Answer: GCF of 16 and 40 is 8

Two methods to find the GCF of 16 and 40 are explained below.

## Methods to find GCF of 16 and 40

- Prime factorization Method
- Listing the common factors method

### Method1: GCF of 16 and 40: Prime Factorization

16 and40 are written as the product of their prime factors.

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

Prime factorization of 40 is 2 × 2 × 2 × 5

Common factors = 2, 2 and 2

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

GCF is 8

### Method2: GCF of 16 and 40: Listing the Common Factors

Common Factors of 16 and 40 : 1, 2, 4 and 8

The greatest common factor = 8

GCF of 16 and 40 = 8