# What is the HCF of 20, 28, and 36?

The highest common factor(HCF) of the numbers is the largest possible number which exactly divides the given numbers.

## Answer: The HCF of 20, 28, and 36 is 4.

The highest common factor(HCF) or the greatest common factor(GCF) of two numbers is the largest among all the common factors.

## Explanation:

### Find HCF(20,28, 36) by Prime Factorization

In this prime factorization, we express each number as a product of its prime factors. The product of all such common prime factors is the HCF of the given numbers.

Prime factorization of 20 is 2 × 2 × 5

Prime factorization of 28 is 2 × 2 × 7

Prime factorization of 36 is 2 × 2 × 3 × 3

Common factors of 20, 28, and 36 are 2, 2

HCF(20,28,36) = 2 × 2 = 4