# What is the GCF of 6 and 16?

GCF of 6 and 16 would be a number which is the largest and which also perfectly divides both of these numbers.

## Answer: GCF of 6 and 16: 2

There are many ways to find GCF. let us see two of them to find the GCF of 6 and 16

## Explanation

Let us see two methods to find GCF of 6 and 16

- Long division
- Listing the factors

### Method 1: Long Division to Find GCF of 6 and 16:

- Take the larger number 16 as the dividend and then the smaller number 6 as the divisor.
- On the first division, the remainder which is obtained will now act as the divisor and the divisor from the previous step as the dividend.
- Continue this division until zero is obtained as the remainder.
- We will take the last Divisor as the GCF of 16 and 6.

GCF of 6 and 16: 2

### Method 2: Listing the Factors to find the GCF of 6 and 16:

- Write all the factors of 6 and 16
- Identify the common factors.
- The largest amongst the common factors as the GCF.

Factors of 6: **1**, **2**, 3, 6

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

Common Factors of 6 and 16: 1 and 2

Greatest among the common factors: 2

GCF of 6 and 16 is 2

### Therefore, GCF of 6 and 16: 2

Download FREE Study Materials

SHEETS

Previous Topic

Lcm of 30 and 42

Next Topic

Lcm of 4 9 and 10