# How to Find HCF by Listing Factor Method?

There are many methods to calculate the highest common** factor **of the given numbers. Irrespective of the method, the result to the **HCF** of the numbers would always be the same. There are three different methods to calculate the HCF of two numbers: HCF by listing factors method, **HCF by prime factorization method**, and HCF by division method.in this article how to find HCF by listing factor method.

**HCF by listing factor method**

In this method, we list the factors of each number and determine the common factors of those numbers. Then, among the common factors, we calculate the highest common factor.

**For example**: find the highest common factors HCF of 10 and 16 by the listing factors method.

**Solution:**

Find the highest common factors HCF of 10 and 16 by the listing factor method.

Factors of 10 are:1,2,5,10

Factors of 16 are:1,2,4,8,16

Common factors of 10 and 16 are;1,2

The highest common factor of 10 and 16 are:2

HCF(10,16)=2

We will list factors 10 and 16. The factors of 10 are 1, 2, 5, 10, and the factors of 16 are 1, 2, 4,8,16, and 16. Clearly, 1 and 2 are the common factors of 10 and 16. But 2 is the highest of all the common factors. Hence, the HCF of 10 and 16 is 2.

**For example:**

**Finding HCF of 8 and 12 by using the listing factors method.**

**Solution:**

Finding HCF of 8 and 12 by using the listing factors method.

Factors of 8 are 1,2,4,and 8

Factors of12 are 1,2,3,4,6 and 12

Common factors of 8 and 12: 1,2 and 4

Highest common factor:4

HCF(8,12)=4

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