# What is the HCF of 52 and 117?

The largest possible number which divides the given numbers exactly without any remainder is called the HCF (Highest Common Factor).

## Answer: HCF of 52 and 117 is 52

HCF of 52 and 117 is the highest number that divides 52 and 117 exactly leaving the remainder 0.

## Explanation:

We will explain the following methods to the highest common factor of 52 and 117.

- HCF of 52 and 117 by Long Division Method
- HCF of 52 and 117 by Listing the Common Factors

### Method 1: Find HCF of 52 and 117 by Long Division

The steps to find the HCF (52, 117) by long division are mentioned below.

**Step 1:** Divide 117 by 52 and check the remainder. Here, we get the remainder of 13

**Step 2: **Make the remainder 13 as the divisor and the divisor of the above step 52 as the dividend and perform the long division again.

**Step 3: **Continue till you get the remainder as 0

HCF of 52 and 117 will the last divisor in the process. So, the highest common factor of 52 and 117 is 13

### Method 2: Find HCF of 52 and 117 by Listing the Common Factors

The factors of 52 and 117 are shown below.

Factors of 52: 1, 2, 4, 13, 26, 52

Factors of 117: 1, 3, 9, 13, 39, 117

There are two common factors of 52 and 117, that are, 1 and 13

The highest common factor of 52 and 117 is 13

You can find the HCF in any of the above methods but the solution will be the same.