# What is the GCF of 32 and 50?

The greatest common factor (GCF) of the two numbers 32 and 50 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 32 and 50 is 2

Let us see how to find the GCF of 32 and 50

## Explanation:

The greatest common factor or the highest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

Methods to Find GCF of 32 and 50

- Prime factorization
- Listing the common factors

### Method 1: Calculate GCF of 32 and 50 by Prime Factorization

In this method, we represent 32 and 50 as a product of its prime numbers

Prime factorization of 32 is 2 × 2 × 2 × 2

Prime factorization of 50 is 2 × 5 × 5

Common factor = 2

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

GCF is 2

### Method 2: GCF of 32 and 50 by Listing the Common Factors

In this method, we list all the factors of 32 and 50, then identify the common factors.

The highest among the common factors is the GCF of 32 and 50.

Factors of 32: 1, 2, 4, 8, 16, 32

Factors of 50: 1, 2, 5, 10, 25, 50

Common Factors of 32 and 50: 1, 2.

Greatest common factor= 2

GCF of 32 and 50 is 2

Irrespective of the method, the GCF(32,50) is the same.