What is the GCF of 35 and 49?
Greatest Common Factor of 35 and 49 is the largest possible number which divides the numbers 35 and 49 exactly leaving the remainder as 0
Answer: GCF of 35 and 49 is 7
We can find the GCF by the following two methods.
Methods to find GCF of 35 and 49
Long division Method
- Prime factorization Method
Method 1: GCF of 35 and 49 by Long Division
- Step 1: Divide 35 by 49 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
Method 2: GCF of 35 and 49 by Prime Factorization
We will express the numbers 35 and 49 as a product of their prime factors.
Prime factorization of 35 is 5 × 7
Prime factorization of 49 is 7 × 7
The common factor in both prime factorization = 7
GCF is the product of the prime factors that are common to the prime factorization of 35 and 49
So, GCF of 35 and 49 is 7
You can find the GCF in any of the above methods but the solution will be the same.