GCF for 90 and 500

What is the Greatest Common Factor of 90 and 500?

Answer: GCF of 90 and 500 is 10

(Ten)

Finding GCF for 90 and 500 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 500 is to list all factors for both numbers and pick the highest common one:

All factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

All factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

So the Greatest Common Factor for 90 and 500 is 10

Finding GCF for 90 and 500 by Prime Factorization

The second method to find GCF for numbers 90 and 500 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 90: 2, 3, 3, 5

All Prime Factors of 500: 2, 2, 5, 5, 5

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
7550025
765004
775001
785002
795001
8050020
815001
825002
835001
845004
855005
865002
875001
885004
895001
9050010
915001
925004
935001
945002
955005
965004
975001
985002
995001
100500
1015001
1025002
1035001
1045004

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 90 and 500? (The answer is: 10). Select the first number (e.g. '90') and the second number (e.g. '500'). 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 90 and 500?

GCF of 90 and 500 is 10