What is the GCF of 56 and 35?
The greatest common factor of two numbers is the largest possible number which divides the numbers exactly without any remainder.
Answer: GCF of 56 and 35 is 7
We can find the GCF by the following methods
Methods to find GCF of 56 and 35
We can calculate the greatest common factor(GCF), by the following methods
- Prime factorization Method
- Long division Method
Find GCF of 56 and 35 by Prime Factorization
Let us represent 56 and 35 as a product of its prime numbers
Prime factorization of 56 is 2 × 2 × 2 × 7
Prime factorization of 24 is 5 × 7
7 is the only common factor in the prime factorization of 56 and 24
GCF is the product of the factors that are common to each of the given numbers.
So, the greatest common factor of 56 and 35
GCF of 56 and 35 by Long Division
- Step 1: Divide 35 by 56 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 and GCF of 56 and 35 will be the last divisor in the long division process.
We can calculate the GCF in any of the above methods but the solution will be the same. It is independent of the procedure.