What is the HCF of 64 and 96?
HCF (Highest Common Factor) of two numbers is the greatest number that divides the two numbers exactly leaving the remainder 0
Answer: HCF of 64 and 96 is 32
Let us see how to find the HCF of 64 and 96
Explanation:
HCF of 64 and 96 will the highest number that divides the numbers 64 and 96 exactly, that is, leaving the remainder 0
We can find the HCF by the following methods.

Long division Method

Prime factorization Method
Methods to Find HCF of 64 and 96
HCF of 64 and 96 by Long Division
Step 1: Divide 96 by 64 and check the remainder. Here, the remainder is 32
Step 2: Make the remainder 32 as the divisor and the divisor 64 as the dividend and perform the long division again.
Step 3: Continue till you get the remainder as 0 and the highest common factor of 64 and 96 is the last divisor of the division process
HCF of 64 and 96 by Prime Factorization
Let us represent 64 and 96 as a product of its prime numbers
Prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2
Prime factorization of 96 is 2 × 2 × 2 × 2 × 2 × 3
The common factors in the prime factorization of 64 and 96 are 2 × 2 × 2 × 2 × 2
HCF is the product of the prime factors that are common to each of the given numbers.
HCF of 64 and 96 is 32
You can find the HCF in any of the above methods but the solution will be the same.