GCF for 80 and 900

What is the Greatest Common Factor of 80 and 900?

Answer: GCF of 80 and 900 is 20

(Twenty)

Finding GCF for 80 and 900 using all factors (divisors) listing

The first method to find GCF for numbers 80 and 900 is to list all factors for both numbers and pick the highest common one:

All factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

All factors of 900: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

So the Greatest Common Factor for 80 and 900 is 20

Finding GCF for 80 and 900 by Prime Factorization

The second method to find GCF for numbers 80 and 900 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 80: 2, 2, 2, 2, 5

All Prime Factors of 900: 2, 2, 3, 3, 5, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 5 = 20

GCF Table

Number 1Number 2GCF
659005
669006
679001
689004
699003
7090010
719001
7290036
739001
749002
7590075
769004
779001
789006
799001
8090020
819009
829002
839001
8490012
859005
869002
879003
889004
899001
9090090
919001
929004
939003
949002

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 80 and 900? (The answer is: 20). Select the first number (e.g. '80') and the second number (e.g. '900'). 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 80 and 900?

GCF of 80 and 900 is 20