HCF of 36 and 63

The HCF of 36 and 63 is 9. The numbers 28 and 36 are evenly divisible by the HCF. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36, and the factors of 63 are 1, 3, 7, 9, 21, 63. The HCF of 36 and 63 calculated using prime factorisation, long division and listing common factors are shown in a clear-cut manner for a better understanding among students.

Also read: Highest common factor

What is the HCF 36 and 63?

The answer to this question is 9. The methods used to find the HCF of 36 and 63 are given in this article for your reference. The HCF of 36 and 63 is 9, which divides the two numbers evenly.

How to Find HCF of 36 and 63?

The methods used to find the HCF of 36 and 63 are:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 36 and 63 by Prime Factorisation Method

The prime factorisation of 36 and 63 is given by:

36 = 2 × 2 × 3 × 3

63 = 3 × 3 × 7

Common factors = 3, 3

HCF (36, 63) = 3 × 3 = 9

HCF of 36 and 63 by Long Division Method

The numbers (36, 63) divided by the prime factors will help you get the HCF of 36 and 63. The divisor, after repeated long division with zero as the remainder, is the HCF.

No further division can be done.

Hence, HCF (36, 63) = 9

HCF of 36 and 63 by Listing Common Factors

You can calculate the HCF of 36 and 63 by listing common factors as shown below:

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

Factors of 63: 1, 3, 7, 9, 21, 63

There are 3 common factors of 36 and 63, and they are 1, 3 and 9.

Therefore, the highest common factor of 36 and 63 is 9.

Related Articles

• Prime Factorization Calculator
• Properties of HCF and LCM
• Prime Factorisation and Division Method for HCF and LCM
• Prime Factorisation
• GCD Calculator

Video Lesson on Properties of HCF and LCM

HCF of 36 and 63 Solved Example

Question: What is the HCF of 36 and 63 if the LCM is 252?

Solution:

Given

LCM = 252

We know that

HCF × LCM = 36 × 63

HCF = (36 × 63)/252

HCF = 9

Hence, the HCF is 9.