What is the GCF of 8 and 32?
GCF of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.
Answer: GCF of 8 and 32 is 8
We can find the GCF by the following methods
GCF of 8 and 32 by Prime Factorization
Let us represent 8 and 32 as a product of their prime numbers:
Prime factorization of 8 is 2 x 2 x 2
Prime factorization of 32 is 2 x 2 x 2 x 2 x 2
Common factors = 2
GCF is the product of the factors that are common to each of the given numbers.
GCF is 2 x 2 x 2 = 8
GCF of 8 and 32 by Long Division Method
Step 1: Divide 32 by 8 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 the remainder as 0
You can find the GCF in any of the above methods but the solution will always remain the same.