# What is the GCF of 52 and 78?

The highest or greatest common factor referred to as the GCF. GCF of two numbers 52 and 78 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 52 and 78 is 26

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

## Explanation:

Common Ways to Find GCF(52,78)

- Listing the common factors method
- Long division Method

### Method 1: GCF(52,78) by Listing the Common Factors

Here, we list all the factors of 52 and 78, then determine the common factors.The highest among the common factors is the GCF of 52 and 78.

**1,** **2,** 4, **13,** **26,** 52 are the factors of 52

**1,** **2,** 3, 6, **13,** **26,** 39, 78 are the factors of 78

Common Factors of 52 and 78: 1, 2, 13, 26.

The greatest among all the common factors is 26

Therefore, GCF of 52 and 78 is 26

### Method 2: GCF of 52 and 78 by Long Division

It is a 3-step process:

- Divide 78 by 52 and check the remainder.
- 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.
- Continue till you get remainder as 0

Irrespective of the method, the solution to GCF(52,78) is the same.