GCF for 70 and 650

What is the Greatest Common Factor of 70 and 650?

Answer: GCF of 70 and 650 is 10

(Ten)

Finding GCF for 70 and 650 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 650 is to list all factors for both numbers and pick the highest common one:

All factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

All factors of 650: 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

So the Greatest Common Factor for 70 and 650 is 10

Finding GCF for 70 and 650 by Prime Factorization

The second method to find GCF for numbers 70 and 650 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 70: 2, 5, 7

All Prime Factors of 650: 2, 5, 5, 13

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
556505
566502
576501
586502
596501
6065010
616501
626502
636501
646502
6565065
666502
676501
686502
696501
7065010
716501
726502
736501
746502
7565025
766502
776501
7865026
796501
8065010
816501
826502
836501
846502

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Factor of 70 and 650? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '650'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

FAQ

What is the Greatest Common Factor of 70 and 650?

GCF of 70 and 650 is 10