# What is the GCF of 72 and 90?

GCF of two or more numbers is the largest possible number which divides both the numbers without leaving any remainder.

## Answer: GCF of 72 and 90 is 18

Two methods to find the GCF of 72 and 90 are explained below.

## Methods to find GCF of 72 and 90

- GCF of 2 and 6 by Prime Factorization
- GCF of 2 and 6 by Common Factors

### Method 1: GCF of 72 and 90 by Prime Factorization

Let us represent 72 and 90 as a product of its prime numbers

Common factors of 72 and 32 re 2, 3, 3

GCF is the product of the numbers common to each

GCF of 72 and 90 is 18.

### Method 2:GCF of 72 and 90 by Listing the Common Factors

Let us list the factors and identify the common factors of 72 and 90. The greatest among them is the GCF of 72and 90.

Common Factors of 72 and 90 : 1, 2, 3, 6, 9, 18

Greatest common factor= 18

GCF of 72 and 90 is 18