The HCF of 2 and 8 is 2. The greatest number that divides 2 and 8 perfectly, leaving no remainder, is the HCF of 2 and 8. The numbers 2 and 8 have the factors 1, 2, and 1, 2, 4, and 8, respectively. Listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 2 and 8.
Also read: Highest common factor
What is the HCF of 2 and 8?
The answer to this question is 2. This article shows the HCF of 2 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 2 and 8?
There are three methods to find the HCF of 2 and 8:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 2 and 8 by Prime Factorisation Method
The prime factorisation of 2 and 8 is given by:
Prime factorisation of 2 = (2)
Prime factorisation of 8 = (2 × 2 × 2)
The only common prime factor of 2 and 8 is 2.
Hence, the HCF of 2 and 8 is 2.
HCF (2, 8) = 2
HCF of 2 and 8 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing the long division repeatedly is the HCF of 2 and 8.
No further division can be done.
Hence, HCF (2, 8) = 2
HCF of 2 and 8 by Listing Factors
To calculate the HCF of 2 and 8 by listing out the common factors, list the factors as shown below:
Factors of 2: 1, 2
Factors of 8: 1, 2, 4, 8
There are 2 common factors of 2 and 8, and they are 1 and 2. Therefore, the highest common factor of 2 and 8 is 2.
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Video Lesson on Properties of HCF and LCM
HCF of 2 and 8 Solved Example
Find the highest number that divides 2 and 8 exactly.
Solution:
The highest number that divides 2 and 8 exactly is their highest common factor, i.e. HCF of 2 and 8.
⇒ Factors of 2 and 8:
Factors of 2 = 1, 2
Factors of 8 = 1, 2, 4, 8
The HCF of 2 and 8 is 2.
Therefore, the highest number that divides 2 and 8 exactly is 2.
Frequently Asked Questions on HCF of 2 and 8
What is the HCF of 2 and 8?
What is the relation between LCM and HCF of 2, 8?
What are the methods to find HCF of 2 and 8?
By Long Division
By Listing Common Factors
By Prime Factorisation
How to find the HCF of 2 and 8 by long division method?
How to find the HCF of 2 and 8 by prime factorisation?
⇒ Since 2 is the only common prime factor of 2 and 8, HCF (2, 8) = 2.
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