# What is the GCF of 30 and 48?

In Math, the Greatest Common Factor is the largest number that can divide evenly into two other numbers. For example, the greatest common factor of 12 and 30 is 6.

## Answer: GCF of 30 and 48 is 6

Two methods to find the GCF of 30 and 48 are explained below.

## Methods to find GCF of 30 and 48

Let's find the GCF of 30 and 48 using the following methods

a) Prime factorization Method

b) Listing the common factors method

### Method1: GCF of 30 and 48 by Prime Factorization

Let us represent 30 and 48 as a product of its prime numbers

Thus, the Common factors are 2, 3

GCF of 30 and 48 is 6

### Method2: GCF of 30 and 48 by Listing the Common Factors

Below are the listed factors of 30 and 48

Common Factors of 30 and 48: 1, 2, 3, 6

Greatest common factor is 6

GCF of 30 and 48 is 6