What is the GCF of 8 and 16?
GCF (Greatest Common Factor) of two numbers is the greatest number that divides the two numbers exactly leaving the remainder 0
Answer: GCF of 8 and 16 is 8
We can find the GCF by the following methods.
Methods to find GCF of 8 and 16
Long division Method
Prime factorization Method
Method 1: GCF of 8 and 16 by Long Division
Step 1: Divide 16 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
Method 2: GCF of 8 and 16 by Prime Factorization
Let us represent 8 and 16 as a product of its prime numbers
Prime factorization of 8 is 2 × 2 × 2
Prime factorization of 16 is 2 × 2 × 2 × 2
The common factors in the Prime factorization of 8 and 16 are 2, 2, and 2
GCF is the product of the prime factors that are common to each of the given numbers.
GCF of 8 and 16 is 8
You can find the GCF in any of the above methods but the solution will be the same.