HCF of 2 and 6

The HCF of 2 and 6 is 2. The highest value, which divides 2 and 6, equally denotes the HCF. The factors of 2 are 1, 2, and the factors of 6 are 1, 2, 3, 6. There are three methods to find the HCF .i.e long division, prime factorisation and listing common factors. Students can learn the steps used in the calculation by using the various reference materials designed by the subject experts at BYJU’S.

Also read: Highest common factor

What is the HCF of 2 and 6?

The answer to this question is 2. You will get a good hold of the methods used to calculate the HCF of 2 and 6 by reading this article. The HCF of 2 and 6 is 2, which divides the given numbers evenly.

How to Find HCF of 2 and 6?

The three methods to obtain HCF of 2 and 6 are:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 2 and 6 by Prime Factorisation Method

The prime factorisation of 2 and 6, is given by:

2 = 2

6 = 2 × 3

Common prime factors of 2 and 6 = 2

Therefore, HCF (2, 6) = 2

HCF of 2 and 6 by Long Division Method

The numbers (2, 6), when divided by the prime factors, give the HCF of 2 and 6. The value of the divisor with the remainder zero is the HCF.

No further division can be done.

Hence, HCF (2, 6) = 2

HCF of 2 and 6 by Listing Common Factors

The HCF of 2 and 6 by listing common factors are shown below:

Factors of 2: 1, 2

Factors of 6: 1, 2, 3, 6

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

Therefore, the highest common factor of 2 and 6 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 2 and 6 Solved Example

Question: Find the LCM if the product of two numbers is 12 and HCF is 2.

Solution:

Given

Product = 12

HCF = 2

LCM × HCF = Product

LCM = Product/HCF

LCM = 12/2

LCM = 6

Hence, the LCM is 6.