# What is GCF of 10 and 30?

The greatest common factor (GCF) or sometimes referred as to the highest common factor (HCF) of two numbers 10 and 30 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 10 and 30 is 10

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder. We can find the GCF of the numbers in many ways, the most common methods are listed below.

## Explanation:

Ways to Find GCF of 10 and 30

- Listing the common factors method
- Long division Method

### Method 1: GCF of 10 and 30 by Listing the Common Factors

In the listing factors method, we list all the factors of 10 and 30, then identify the common factors. The highest among the common factors is the GCF of 10 and 30.

**1, 2, 5, 10** are the factors of 10, whereas **1,** **2,** 3, **5,** 6, **10,** 15, 30 are the factors of 30.

Common Factors of 10 and 30: 1, 2, 5, 10.

Greatest of all the common factors is 10

GCF of 10 and 30 is 10

### Method 2: GCF of 10 and 30 by Long Division

- Step 1: Divide 30 by 10 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get the remainder as 0
- Here 30 is a multiple of 10, so 10 exactly divides 30.
- The greatest common divisor would be 10 itself.

GCF of 10 and 30 is the same as 10, it is invariant with the process we choose to find GCF.