What is GCF of 28 and 36?
The 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 28 and 36 is 4
We can find the GCF by the following methods
GCF of 28 and 36 by Prime Factorization
Let us represent 28 and 36 as a product of their prime numbers:
Prime factorization of 28 is 2 x 2 x 7
Prime factorization of 36 is 2 x 2 x 3 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 = 4
GCF of 28 and 36 by Long Division Method
Step 1: Divide 36 by 28 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.