# What is the GCF of 36 and 48?

The Greatest Common Factor (*GCF* or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder

## Answer: GCF of 36 and 48 is 12

Two methods to find the GCF of 36 and 48 are explained below.

## Methods to find GCF of 36 and 48

Let's find the GCF using two diferent methods as listed below:

- Prime factorization Method
- Listing the common factors method

### Method1: GCF of 36 and 48 by Prime Factorization

Let us represent 36 and 48 as a product of its prime numbers

Prime factorization of 36 is 2 × 2 × 3 ×3

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

Common factors = 2, 2, 3

Thus, GCF is 2× 2 × 3 = 12

### GCF of 36 and 48 by Listing the Common Factors

Common Factors of 36 and 48 : 1, 2, 3,4,6,12

Greatest common factor is 12

GCF of 36 and 48 is 12