# What is the GCF of 16 and 60?

The greatest common factor or the GCF of two numbers 16 and 60 is the largest whole number which divides both the numbers exactly.

## Answer: GCF of 16 and 60 is 4

Let us see how to find the GCF of 16 and 40.

## Explanation:

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is sometimes referred as to the highest common factor.

## Common Methods to Find GCF of 16 and 60

- Listing the common factors method
- Long division Method

### Method 1: GCF of 16 and 60 by Listing the Common Factors

In this method, we identify the common factors from the list of all the factors of 16 and 60.

The highest among the common factors is the GCF(16,60).

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

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

Common Factors of 16 and 60: 1, 2, 4.

Greatest common factor= 4

GCF(16,60) is 4

### Method 2: GCF(16,60) by Long Division

Step 1: Divide 60 by 16 and check the remainder.

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

Step 3: Continue till you get the remainder as 0

GCF of 16 and 60 remains the same as 4 irrespective of the method.