What is the GCF of 16 and 48?
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 16 and 48 is 16
We can find the GCF by the following methods
GCF of 16 and 48 by Prime Factorization
Let us represent 16 and 48 as a product of their prime numbers:
Prime factorization of 16 is 2 x 2 x 2 x 2
Prime factorization of 48 is 2 x 2 x 2 x 2 x 3
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 x 2 = 16
GCF of 16 and 48 by Long Division Method
Step 1: Divide 48 by 16 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.