# What is GCF of 50 and 60?

The greatest common factor or the GCF of two numbers 50 and 60 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 50 and 60 is 10

Let us see how to find the GCF of 50 and 60.

## Explanation

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also named as the highest common factor or the greatest common divisor.

## Methods to Find GCF of 50 and 60

- Listing the common factors
- Long division

### Method 1: Listing the Common Factors To Find GCF of 50 and 60:

Initially, we list all the factors of 50 and 60, then identify the common factors.

The highest among the common factors is the GCF of 50 and 60.

The factors of 50 are **1,** **2**, **5,** **10,** 25, 50

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

Common Factors of 50 and 60: 1, 2, 5, 10.

The greatest among all the common factors is 10

GCF of 50 and 60 is 10

### Method 2: GCF of 50 and 60 by Long Division

Step 1: Divide 60 by 50 and check the remainder.

Step 2: Make the remainder of the above step(10) as the divisor and the divisor of the above step(50) as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0

The GCF(50,60) is the same irrespective of the process we choose.