GCF for 70 and 825

What is the Greatest Common Factor of 70 and 825?

Answer: GCF of 70 and 825 is 5

(Five)

Finding GCF for 70 and 825 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 825 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 825: 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

So the Greatest Common Factor for 70 and 825 is 5

Finding GCF for 70 and 825 by Prime Factorization

The second method to find GCF for numbers 70 and 825 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 825: 3, 5, 5, 11

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 825

GCF Table

Number 1Number 2GCF
5582555
568251
578253
588251
598251
6082515
618251
628251
638253
648251
658255
6682533
678251
688251
698253
708255
718251
728253
738251
748251
7582575
768251
7782511
788253
798251
808255
818253
828251
838251
848253

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 825? (The answer is: 5). Select the first number (e.g. '70') and the second number (e.g. '825'). 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 825?

GCF of 70 and 825 is 5