HCF of 1 and 2

The HCF of 1 and 2 is 1. Listing common factors, prime factorisation, and long division are the three most frequent methods used for calculating the HCF of 1 and 2. The highest number that divides 1 and 2 perfectly and without leaving a remainder is called the HCF of 1 and 2. The factor of 1 is 1 itself and factors of 2 are 1 and 2.

Also read: Highest common factor

What is the HCF of 1 and 2?

The answer to this question is 1. This article shows how to find the HCF of 1 and 2 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 1 and 2?

There are three methods to find the HCF of 1 and 2:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 1 and 2 by Prime Factorisation Method

The prime factorisation of 1 and 2 is given by:

Prime factorisation of 1 = 1

Prime factorisation of 2 = 2

Hence, the HCF of 1 and 2 is 1.

HCF (1, 2) = 1

HCF of 1 and 2 by Long Division Method

The divisor that we get when the remainder is 0 after doing long division repeatedly is the HCF of 1 and 2.

No further division can be done. 

Hence, HCF (1, 2) = 1

HCF of 1 and 2 by Listing Common Factors

To calculate the HCF of 1 and 2 by listing common factors, list the factors as shown below:

Factor of 1: 1

Factors of 2: 1, 2

Since 1 is the only common factor between 1 and 2, the Highest Common Factor of 1 and 2 is 1.

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 1 and 2 Solved Example

Question: Find the highest number that divides 1 and 2 exactly.

Solution:

The highest number that divides 1 and 2 exactly is their Highest Common Factor .i.e HCF of 1 and 2.

Factors of 1 and 2:

Factors of 1 = 1

Factors of 2 = 1, 2

Therefore, the HCF of 1 and 2 is 1.