# What is the GCF of 12 and 32?

GCF (Greatest Common Factor) of two numbers is the largest number that divides the two numbers exactly leaving the remainder 0

## Answer: GCF of 12 and 32 is 4

We can find the GCF by any of the following two methods.

## Methods to find GCF of 12 and 32

- Listing the common factors method
- Prime factorization Method

### Method 1: GCF of 12 and 32 by Listing the Common Factors

The factors of 12 and 32 are shown below.

The common factors of 12 and 32 are 1, 2, and 4

Clearly, the greatest common factor of 12 and 32 is 4

So, GCF of 12 and 32 is 4

### Method 2 : GCF of 12 and 32 by Prime Factorization

We will represent 12 and 32 as a product of their prime factors.

Prime factorization of 12 is 2 × 2 × 3

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

Common prime factors = 2 × 2

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

GCF of 12 and 32 is 4

Irrespective of the method, the solution to our question GCF of 12 and 32 is the same.