What is The HCF of 4 and 8?
The largest possible number which divides the given numbers exactly without leaving any remainder is called the highest common factor of two or more numbers.
Answer: HCF of 4 and 8 is 4
We can find the HCF by the following methods
- Prime factorization method
- List of factors method
Find HCF of 4 and 8 by Prime Factorization
Let us represent 4 and 8 as a product of its prime numbers
Prime factorization of 4 is 2 × 2
Prime factorization of 8 is 2 × 2 × 2
Common factors = 2 and 2
HCF is the product of the factors that are common to each of the given numbers.
HCF is 2\(\times\)2=4
Find HCF of 4 and 8 by Listing the Common Factors
In this method, the highest of all the common factors of the given numbers is identified.
Common Factors of 4 and 8: 1, 2 and 4
The greatest common factor is 4
HCF of 4 and 8 is 4.
The highest common factor is unique for a given set of numbers. It is independent of the process we choose to find the HCF.