What is the GCF of 72 and 96?
Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.
Answer: GCF of 72 and 96 is 24
We can find the GCF by the following methods
GCF of 72 and 96 by Prime Factorization
Let us represent 72 and 96 as a product of their prime numbers:
Prime factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Common factors = 2, 3
GCF is the product of the factors that are common to each of the given numbers.
GCF is 2 x 2 x 2 x 3 = 24
GCF of 72 and 96 by Long Division Method
Step 1: Divide 96 by 72 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
You can find the GCF in any of the above methods but the solution will always remain the same.