What is the GCF of 24 and 56?
Greatest Common Factor of two numbers is the largest number that divides the two numbers exactly leaving the remainder 0
Answer: GCF of 24 and 56 is 8
We can find the GCF by the following methods
Methods to find GCF of 24 and 56

Prime factorization Method

Long division Method
Method 1 : Greatest Common Factor of 24 and 56 by Prime Factorization
Let's write the prime factorization of 24 and 56
Prime factorization of 24 is 2 × 2 × 2 × 3
Prime factorization of 56 is 2 × 2 × 2 × 7
The common prime factors in the above prime factorization are 2, 2, and 2
The greatest common factor is the product of the prime factors that are common to each of the given numbers.
So, GCF of 24 and 56 is 2 × 2 × 2 = 8
MEthod 2: Greatest Common Factor of 24 and 56 by Long Division

Step 1: Divide 56 by 24 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
The solution to our question GCF of 24 and 56 is the same by both the methods.