GCF for 90 and 200

What is the Greatest common Divisor of 90 and 200?

Answer: GCF of 90 and 200 is 10

(Ten)

Finding GCF for 90 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 200 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 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

So the Greatest Common Factor for 90 and 200 is 10

Finding GCF for 90 and 200 by Prime Factorization

The second method to find GCF for numbers 90 and 200 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 200: 2, 2, 2, 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
7520025
762004
772001
782002
792001
80200
812001
822002
832001
842004
852005
862002
872001
882008
892001
9020010
912001
922004
932001
942002
952005
962008
972001
982002
992001
100200
1012001
1022002
1032001
1042008

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 Divisor of 90 and 200? (The answer is: 10). Select the first number (e.g. '90') and the second number (e.g. '200'). 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 Divisor of 90 and 200?

GCF of 90 and 200 is 10