# What is the HCF of 8 and 15?

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

## Answer: HCF of 8 and 15 is 1

HCF of 8 and 15 is the highest number that divides 8 and 15 exactly leaving the remainder 0.

## Explanation:

We will show two methods to find the highest common factor of 1, 36 and 48

We can find the HCF by the following methods

- HCF of 8 and 15 by Listing the Common Factors
- HCF of 8 and 15 by Prime Factorization

### Method 1: HCF of 8 and 15 by Listing the Common Factors

The factors of 8 and 15 are given below.

- Factors of 8:
, 2, 4, 8**1** - Factors of 15:
, 3, 5, 15**1**

Here, the common factor among the factors of 8 and 15 is 1.

So, the highest common factor of 8 and 15 is 1.

### Method 2: HCF of 8 and 15 by Prime Factorization

Let us represent 8 and 15 as a product of its prime factors.

Prime factorization of 8 = 2 × 2 × 2

Prime factorization of 15 = 3 × 5

Observe that there isn't any common factor in the prime factorization of 8 and 15.

So, HCF of 8 and 15 is 1.

The solution of HCF of 8 and 15 is the same as any of the above methods.