# What is The HCF of 404 and 96 by prime factorization?

The highest common factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder. It is also sometimes termed as the greatest common divisor(GCD)

## Answer: HCF of 404 and 96 by prime factorization is 4

**Explanation:**

## HCF of 404 and 96 by Prime Factorization

Let us represent 404 and 96 as a product of its prime numbers

Prime factorization of 404 is 2 × 2 × 101

Prime factorization of 96 is 2 × 2 × 2 × 2 × 2 × 3

Common factors = 2 and 2

HCF(404,96) is the product of the factors that are common to each of the given numbers.

### Thus, HCF of 404 and 96 by prime factorization is 4

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