# What is the HCF of 506 and 1155?

HCF (Highest Common Factor) of two numbers is the largest possible number which divides the two numbers exactly without any remainder.

## Answer: HCF of 506 and 1155 is 11

Let us see how to find the HCF of 506 and 1155

## Explanation:

The highest common factor or sometimes referred to as the greatest common factor of two numbers, 506 and 1155 is the highest number which divides both the numbers, 506 and 1155 exactly without any remainder.

- HCF of 506 and 1155 by Prime Factorization
- HCF of 506 and 1155 by Listing the Common Factors

### Method 1: HCF of 506 and 1155 by Prime Factorization

Represent 506 and 1155 as a product of its prime factors.

Prime factorization of 506 is 2 × 11 × 23

Prime factorization of 1155 is 3 × 5 × 7 × 11

11 is the only common factor in the prime factorization of 506 and 1155

HCF is the product of the factors that are common to each of the given numbers.

Since the common factor is 11, the HCF of 506 and 1155 is 11

### Method 2: HCF of 506 and 1155 by Listing the Common Factors

The common factors of 506 and 1155 are 1 and 11

So, HCF of 506 and 1155 is 11

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