# What is the GCF of 32 and 81?

GCF of two numbers 32 and 81 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 32 and 81 is 1

Let us find GCF of 32 and 81

## Explanation:

The greatest common factor (GCF) of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also called the highest common factor (HCF).

We will use the following two methods to find the GCF of 32 and 81.

- GCF of 32 and 81 by Prime factorization Method
- GCF of 32 and 81 by Listing Method

### Method 1: Find GCF (32, 81) by Prime Factorization

In this method, we re-write 32 and 81 as a product of its prime factors.

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

Prime factorization of 81 is 3 × 3 × 3 × 3

The common factor of 32 and 81 is 1

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

GCF of 32 and 81 is 1

### Method 2: Find GCF (32, 81) by Listing the Common Factors

In this method, we list all the factors of 32 and 81, then identify the common factors.

The highest among the common factors is the GCF of 32 and 81.

The factors of 32 are **1**, 2, 4, 8, 16, 32

The factors of 81 are **1**, 3, 9, 27, 81

The common factor of 32 and 81 is 1

The greatest common factor(GCF) of 32 and 81 is 1

Irrespective of the method, the GCF (32, 81) is the same.