# What is the GCF of 3 and 8?

GCF (Greatest Common Factor) of 3 and 8 is the largest possible number which divides both 3 and 8 exactly.

## Answer: GCF of 3 and 8 is 1

Let's find the GCF of 3 and 8

## Explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

## Methods to Find GCF of 3 and 8

### GCF of 3 and 8 by Listing the Common Factors

List the factors of 3 and 8 and identify the common factors. The greatest among them is the GCF.

Factors of 3: 1, 3

Factors of 8: 1, 2, 4, 8

Common Factors of 3 and 8: 1

Apart from 1, the universal factor, we don't see any common factors between 3 and 8 so the GCF is 1

GCF of 3 and 8 is 1

### GCF of 3 and 8 by Long Division

- Step 1: Divide 8 by 3 and check the remainder.
- Step 2: Make the remainder 2 as the new divisor and the previous divisor 3 is the dividend and perform the long division again. The last divisor is our GCF.
- Step 3: Continue till you get the remainder as 0

You can find the GCF of 3 and 8 in any of the above methods but the solution will be the same.