What is the HCF of 96 and 404?
The Highest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.
Answer: HCF of 96 and 404 is 4
Let us see how to find the HCF of 96 and 404
Methods to Find HCF of 96 and 404
Two methods to find the HCF of 36 and 84 are explained below.
HCF of 96 and 404 by Prime Factorization
- HCF of 96 and 404 by Long Division
Method1: HCF of 96 and 404 by Prime Factorization
Represent 96 and 404 as a product of their prime numbers
Prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime factorization of 404 is 2 × 2 x 101
HCF is the product of the factors that are common to each of the given numbers.
Method2: Long Division
- Step 1: Divide 404 by 96 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get remainder as 0
Any of the abobe methods will yield the same answer for the HCF of 96 and 404