# What is highest common factor in math?

Asked By: Mesias Hempelmann | Last Updated: 1st March, 2020

Category:
business and finance
interest rates

A

**common factor**is a**factor**that is shared by two or more numbers. The**highest common factor**(**HCF**) is found by finding all**common factors**of two numbers and selecting the largest one. For**example**, 8 and 12 have**common factors**of 1, 2 and 4. The**highest common factor**is 4.Correspondingly, what is the HCF of 24 and 36?

**Highest common factor** (H.C.F) of 24 and 36 = 12.

Subsequently, question is, what is the LCM of 8 and 12? Least common multiple (**LCM) of 8 and 12** is 24.

Also to know, what is common factor in math?

**Common Factor**. more "**Factors**" are numbers we can multiply together to get another number. When we find the **factors** of two or more numbers, and then find some **factors** are the same ("**common**"), then they are the "**common factors**". Example: 12 and 16.

What are the factors of 24?

**Try This:**

- 24 is a composite number.
- Prime factorization: 24 = 2 x 2 x 2 x 3, which can be written 24 = 2³ x 3.
- The exponents in the prime factorization are 3 and 1.
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
- Factor pairs: 24 = 1 x 24, 2 x 12, 3 x 8, or 4 x 6.