HCF of 2 and 12

The HCF of 2 and 12 is 2. The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 2 and 12. The highest number that divides 2 and 12 precisely and without leaving any residue is called the HCF of 2 and 12. The numbers (1, 2,) and (1, 2, 3, 4, 6, and 12) are the factors of 2 and 12, respectively.

Also read: Highest common factor

What is the HCF of 2 and 12?

The answer to this question is 2. This article shows the HCF of 2 and 12 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 2 and 12?

There are three methods to find the HCF of 2 and 12:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 2 and 12 by Prime Factorisation Method

The prime factorisation of 2 and 12 is given by:

Prime factorisation of 2 = 2

Prime factorisation of 12 = (2 × 2 × 3)

Hence, the HCF of 2 and 12 is 2.

HCF (2, 12) = 2

HCF of 2 and 12 by Long Division Method

The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 2 and 12.

No further division can be done.

Hence, HCF (2, 12) = 2

HCF of 2 and 12 by Listing the Factors

To calculate the HCF of 2 and 12 by listing out the common factors, list the factors as shown below:

Factors of 2 = 1, 2

Factors of 12 = 1, 2, 3, 4, 6, 12

Therefore, the HCF of 2 and 12 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 2 and 12 Solved Example

The product of two numbers is 24. If their HCF is 2, what is their LCM?

Solution:

Given: HCF = 2 and product of numbers = 24

We know that LCM × HCF = product of numbers

⇒ LCM = Product/HCF = 24/2

Therefore, the LCM is 12.