# What is the GCF of 48 and 64?

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 48 and 64 is 16

Two methods to find the GCF of 48 and 64 are explained below.

## Methods to find GCF of 48 and 64

- Prime factorization Method
- Listing the common factors method

### Method 1: Prime Factorization to Obtain GCF of 48 and 64

Let us represent 48 and 64 as a product of its prime factors.

Prime factorization of 48 is 2 × 2 × 2 × 2 × 3

Prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2

Common factors = 2, 2, 2 and 2

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

GCF is 16

### Method 2: Listing the Common Factors to Obtain GCF of 48 and 64

Common Factors of (48,64) : 1, 2, 4 , 8 and 16

The greatest common factor amongst all is 16

GCF of (48,64) is 16