# Find the HCF of 3556 and 3444?

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

## Answer: HCF of 3556 and 3444 is 28

We will explain two methods to find the HCF of 3556 and 3444

## Explanation:

The two methods that we are using to find HCF of 3556 and 3444 are shown below.

- HCF of 3556 and 3444 by Prime Factorization
- HCF of 3556 and 3444 by Listing the Common Factors

### Method 1: Find HCF of 3556 and 3444 by Prime Factorization

Represent 3556 and 3444 as a product of its prime factors.

Prime factorization of 3556 is 2 × 2 × 7 × 127

Prime factorization of 3444 is 2 × 2 × 3 × 7 × 41

The common factor in the prime factorization of 3556 and 3444 are 2, 2, and 7

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

So, HCF of 3556 and 3444 is 2 × 2 × 7 = 28

### Method 2: Find HCF of 3556 and 3444 by Listing the Common Factors

The factors of 3556 and 3444 are shown below

The common factors of 3556 and 3444, are, 1, 2, 4, 7, 14, and 28

The highest common factor of 3556 and 3444 is 28.

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