HCF of 6 and 20

The HCF of 6 and 20 is 2. The number which can divide 6 and 20 evenly is the HCF value. The factors of 6 are 1, 2, 3, and 6, and the factors of 20 are 1, 2, 4, 5, 10, and 20. The methods used in the determination of the HCF, i.e. prime factorisation, long division and listing common factors are explained in depth in this article by the subject experts, at BYJU’S, with vast experience in Maths.

Also read: Highest common factor

What is the HCF of 6 and 20?

The answer to this question is 2. The methods used to get the value of HCF of 6 and 20 are discussed comprehensively here. The HCF of 6 and 20 is 2, which divides the two given numbers.

How to Find HCF of 6 and 20?

The three methods to obtain the HCF value of 6 and 20 are:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 6 and 20 by Prime Factorisation Method

The prime factorisation of 6 and 20 is given by:

6 = 2 × 3

20 = 2 × 2 × 5

Common prime factors of 6 and 20 = 2

Therefore, HCF (6, 20) = 2

HCF of 6 and 20 by Long Division Method

The numbers (6, 20) divided by the prime factors help to get the HCF of 6 and 20. The divisor, when the remainder is zero, is the HCF value.

No further division can be done.

Hence, HCF (6, 20) = 2

HCF of 6 and 20 by Listing the Factors

Learn to find the HCF of 6 and 20 by listing the common factors here:

Factors of 6: 1, 2, 3, 6

Factors of 20: 1, 2, 4, 5, 10, 20

There are 2 common factors of 6 and 20, and they are 1 and 2.

Therefore, the highest common factor of 6 and 20 is 2.

Related Articles

• Prime Factorisation 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 6 and 20 Solved Example

Question: Find the LCM if the product of two numbers is 120 and HCF is 2.

Solution:

Given

Product = 120

HCF = 2

LCM × HCF = Product

LCM = Product/HCF

LCM = 120/2

LCM = 60

Hence, the LCM is 60.