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.

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

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.

Frequently Asked Questions on HCF of 2 and 12

Q1

What is the HCF of 2 and 12?

The HCF of 2 and 12 is 2. To calculate the HCF (Highest Common Factor) of 2 and 12, we need to factor each number and choose the highest factor that exactly divides both 2 and 12, i.e., 2.
Q2

How to Find the HCF of 2 and 12 by Prime Factorisation?

To find the HCF of 2 and 12, we will find the prime factorization of the given numbers, i.e. 2 = 2; 12 = 2 × 2 × 3.
⇒ Since 2 is the only common prime factor of 2 and 12. Hence, HCF (2, 12) = 2.
Q3

What are the Methods to Find HCF of 2 and 12?

There are three commonly used methods to find the HCF of 2 and 12.
By Long Division
By Listing Common Factors
By Prime Factorisation
Q4

What is the Relation Between LCM and HCF of 2, 12?

The following equation can be used to express the relation between Least Common Multiple (LCM) and HCF of 2 and 12, i.e. HCF × LCM = 2 × 12.
Q5

How to Find the HCF of 2 and 12 by Long Division Method?

To find the HCF of 2, 12 using long division method, 12 is divided by 2. The corresponding divisor (2) when remainder equals 0 is taken as HCF.

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