# What is The HCF of 12576 and 4052?

Highest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: HCF of 12576 and 4052 is 4

## Explanation:

Two methods to find the HCF of 12576 and 4052 are explained below.

### HCF of 12576 and 4052 by Prime Factorization

Let us represent 12576 and 4052 as a product of its prime factors.

__Prime factorization__ of 12576 is 2 × 2 × 2 × 2 × 2 × 3 × 131

Prime factorization of 4052 is 2 × 2 × 1013

The common factors in the prime factorization of 12576 and 4052 are 2 and 2

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

This means HCF of 12576 and 4052 is 2 × 2 = 4

### HCF of 12576 and 4052 by Listing the Common Factors

Follow the steps given below to find the HCF of 12576 and 4052 by Listing the Common Factors.

**Step 1:** List the factors of 12576 and 4052

**Step 2:** Identify the common factors of 12576 and 4052

**Step 3:** HCF of 12576 and 4052 is equal to the highest factor among the common factors of 12576 and 4052

So, HCF of 12576 and 4052 is 4

You can find the HCF in any of the above methods but the solution will be the same, that is, HCF of 12576 and 4052 is 4