# What is the HCF of 36 and 42?

HCF (Highest Common Factor) of 36 and 42 is the greatest possible number which divides both 36 and 42 exactly.

## Answer: HCF of 36 and 42 is 6

**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 36 and 42

### HCF of 36 and 42 by Listing the Common Factors

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 42: 1, 2, 3, 6, 7, 14, 21, and 42

Common Factors of 36 and 42: 1, 2, 3, 6

Since the greatest common factor is 6, the HCF of 36 and 42 is 6

HCF of 36 and 42 is 6

### HCF of 36 and 42 by Long Division

- Step 1: Divide 42 by 36 and check the remainder.
- Step 2: Make the remainder 6 as the new divisor and the previous divisor 36 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 36 and 42 in any of the above methods but the solution will be the same.