# What is the HCF of 12 and 14?

HCF (Highest Common Factor) of 12 and 14 is the greatest possible number which divides both 12 and 14 exactly.

## Answer: HCF of 12 and 14 is 2

## Explanation

The highest common factor (HCF) of two numbers a and b is the highest possible number that divides the numbers a and b exactly, leaving the remainder 0.

## Methods to Find HCF of 12 and 14

### HCF of 12 and 14 by Listing the Common Factors

Factors of 12: 1, 2, 3, 4, 6 and 12

Factors of 14: 1, 2, 7 and 14

Common Factors of 12 and 14: 1, 2

Since the greatest common factor is 2, the HCF of 12 and 14 is 2

So, HCF of 12 and 14 is 2

### HCF of 12 and 14 by Long Division

- Step 1: Divide 14 by 12 and check the remainder.
- Step 2: Make the remainder 2 as the new divisor and the previous divisor 12 is the dividend and perform the long division again. The last divisor is our HCF.
- Step 3: Continue till you get the remainder as 0

You can find the HCF of 12 and 14 in any of the above methods but the solution will be the same.

### Therefore, HCF of 12 and 14 is 2

Download FREE Study Materials

SHEETS