# What is the GCF of 6 and 36?

The greatest common factor(GCF) of two numbers 6 and 36 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 6 and 36 is 6

Let us Find** **GCF of 6 and 36

## Explanation:

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also referred to as HCF (highest common factor)

- GCF of 6 and 36 by Listing the Common Factors
- GCF of 6 and 36 by Long Division

### Method 1: Find GCF of 6 and 36 by Listing the Common Factors

In this method, we list all the factors of 6 and 36, then identify the common factors.

The highest among the common factors is the GCF of 6 and 36.

**1,** **2,** **3,** **6 **are the factors of 6

**1,** **2,** **3,** 4, **6,** 9, 12, 18, 36 are the factors of 36

Common Factors of 6 and 36: 1, 2, 3, 6.

Greatest common factor = 6

GCF of 6 and 36 is 6

### Method 2: Find GCF of 6 and 36 by Long Division

- Divide 36 by 6 and check the remainder.
- 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.
- Continue till you get the remainder as 0

Irrespective of the method, the solution to GCF of 6 and 36 is always 6.

### Thus, GCF of 6 and 36 is 6

Download FREE Study Materials

SHEETS