# What is the GCF of 39 and 52?

GCF or the greatest common factor of two numbers 39 and 52 is the largest possible number that divides both the numbers exactly.

## Answer: GCF of 39 and 52 is 13

Let us see how to find the GCF of 39 and 52.

## Explanation:

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

## Common Ways to Find GCF 0f 39 and 52

- Prime factorization Method
- Listing the common factors Method

### Method1: GCF of 39 and 52 by Prime Factorization

In this method, we represent 39 and 52 as a product of its prime numbers

Prime factorization of 39 is 3 × 13

Prime factorization of 52 is 2 × 2 × 13

Common factor = 13

The greatest common factor is the product of the factors that are common to each of the given numbers.

GCF is 13

### Method 2: GCF of 39 and 52 by Listing the Common Factors

Here we identify the common factors from the list of all the factors of 39 and 52. The highest among the common factors is the GCF of 39 and 52.

The factors of 39 are 1, 3, 13, 39. Whereas factors of 52 are 1, 2, 4, 13, 26, 52.

So, there are 2 two common factors of 39 and 52 which are 1, 13.

The greatest common factor among them is 13.

GCF of 39 and 52 is 13.

The solution to our question GCF of 39 and 52 is the same, and it does not vary with the process of finding.