# What is the GCF of 32 and 60?

GCF of two numbers 32 and 60 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 32 and 60 is 4

Let us find GCF of 32 and 60

## 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 60.

- GCF of 32 and 60 by Long Division Method
- GCF of 32 and 60 by Listing Method

### Method 1: GCF of 32 and 60 by Long Division

Step 1: Divide 60 by 32 and check the remainder.

Step 2: Make the remainder of the above step(28) as the divisor and the divisor of the above step(32) as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and the last divisor will be the GCF (32, 60)

### Method 2: GCF of 32 and 60 by Listing the Common Factors

In this method, we list all the factors of 32 and 60, then identify the common factors.

The highest among the common factors is the GCF of 32 and 60.

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

The factors of 60 are **1**, **2**, 3, **4**, 5, 6, 10, 12, 15, 20, 30, 60

Common Factors of 32 and 60: 1, 2, 4.

The greatest common factor of 32 and 60 is 4

GCF of 32 and 60 is 4

Irrespective of the method, the solution to our question GCF of 32 and 60 is the same.