What is the GCF of 35 and 63?
Greatest Common Factor of two numbers is the largest number that divides the two numbers exactly leaving the remainder 0
Answer: The GCF of 35 and 63 is 7.
We can find the GCF by the following methods.
Methods to find GCF of 35 and 63
Prime factorization Method
Long division Method
Greatest Common Factor of 35 and 63 by Prime Factorization
Let's write the prime factorization of 35 and 63
Prime factorization of 35 is 5 × 7
Prime factorization of 63 is 3 × 3 × 7
The common prime factor in the above prime factorization is 7
The greatest common factor is the product of the prime factors that are common to each of the given numbers.
So, GCF of 35 and 63 is 7
Greatest Common Factor of 35 and 63 by Long Division
Step 1: Divide 63 by 35 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 35 and 63 is the same by both the methods.