GCF for 90 and 165

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 90 and 165?

Answer

GCF of 90 and 165 is 15

(Fifteen)

Finding GCF for 90 and 165 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 165 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 165: 1, 3, 5, 11, 15, 33, 55, 165

So the Greatest Common Factor for 90 and 165 is 15

Finding GCF for 90 and 165 by Prime Factorization

The second method to find GCF for numbers 90 and 165 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 165: 3, 5, 11

As we can see there are Prime Factors common to both numbers: 3, 5

Now we need to multiply them to find GCF: 3 × 5 = 15

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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 165? (The answer is: 15). Select the first number (e.g. '90') and the second number (e.g. '165'). 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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
7516515
761651
7716511
781653
791651
801655
811653
821651
831651
841653
851655
861651
871653
8816511
891651
9016515
911651
921651
931653
941651
951655
961653
971651
981651
9916533
1001655
1011651
1021653
1031651
1041651

FAQ

What is the Greatest Common Divisor of 90 and 165?

GCF of 90 and 165 is 15

How to find the GCF of 90 and 165?

You can find the GCF of 90 and 165 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 165 is 15.

See Also