HCF of 6 and 8

The HCF of 6 and 8 is 2. The greatest possible number that divides 6 and 8 perfectly without any remainder is the HCF of 6 and 8. The highest number that divides 6 and 8 perfectly, leaving no remainder, is known as the HCF of 6 and 8. The factors of 6 and 8 are 1, 2, 3, 6, and 1, 2, 4, 8, respectively.

Also read: Highest common factor

What is the HCF of 6 and 8?

The answer to this question is 2. This article shows how to find the HCF of 6 and 8 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.

How to Find HCF of 6 and 8?

There are three methods to find the HCF of 6 and 8:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 6 and 8 by Prime Factorisation Method

The prime factorisation of 6 and 8 is given by:

Prime factorisation of 6 = (2 × 3)

Prime factorisation of 8 = (2 × 2 × 2)

Hence, the HCF of 6 and 8 is 2.

HCF (6, 8) = 2

HCF of 6 and 8 by Long Division Method

The divisor that we get when the remainder is 0 after doing long division repeatedly is the HCF of 6 and 8.

No further division can be done. 

Hence, HCF (6, 8) = 2

HCF of 6 and 8 by Listing Common Factors

To calculate the HCF of 6 and 8 by listing common factors, list the factors as shown below:

Factors of 6: 1, 2, 3, 6

Factors of 8: 1, 2, 4, 8

There are 2 common factors of 6 and 8, and they are 1 and 2. Therefore, the Highest Common Factor of 6 and 8 is 2.

Related Articles

• HCF
• HCF of Two Numbers
• HCF and LCM
• Relation between HCF and LCM
• GCF calculator

Video Lesson on Properties of HCF and LCM

HCF of 6 and 8 Solved Example

Question: For two numbers, HCF = 2 and LCM = 24. If one number is 6, find the other number.

Solution:

Given: HCF (y, 6) = 2 and LCM (y, 6) = 24

∵ HCF × LCM = 6 × (y)

⇒ y = (HCF × LCM)/6

⇒ y = (2 × 24)/6

⇒ y = 8

Therefore, the other number is 8.