GCF for 70 and 675

What is the Greatest Common Factor of 70 and 675?

Answer: GCF of 70 and 675 is 5

(Five)

Finding GCF for 70 and 675 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 675 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 675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

So the Greatest Common Factor for 70 and 675 is 5

Finding GCF for 70 and 675 by Prime Factorization

The second method to find GCF for numbers 70 and 675 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 675: 3, 3, 3, 5, 5

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 70 and 675

GCF Table

Number 1Number 2GCF
556755
566751
576753
586751
596751
6067515
616751
626751
636759
646751
656755
666753
676751
686751
696753
706755
716751
726759
736751
746751
7567575
766751
776751
786753
796751
806755
8167527
826751
836751
846753

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 675? (The answer is: 5). Select the first number (e.g. '70') and the second number (e.g. '675'). 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 675?

GCF of 70 and 675 is 5