GCF for 75 and 165

What is the Greatest common Divisor of 75 and 165?

Answer: GCF of 75 and 165 is 15

(Fifteen)

Finding GCF for 75 and 165 using all factors (divisors) listing

The first method to find GCF for numbers 75 and 165 is to list all factors for both numbers and pick the highest common one:

All factors of 75: 1, 3, 5, 15, 25, 75

All factors of 165: 1, 3, 5, 11, 15, 33, 55, 165

So the Greatest Common Factor for 75 and 165 is 15

Finding GCF for 75 and 165 by Prime Factorization

The second method to find GCF for numbers 75 and 165 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 75: 3, 5, 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

See Also

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 75 and 165? (The answer is: 15). Select the first number (e.g. '75') 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

GCF Table

Number 1Number 2GCF
6016515
611651
621651
631653
641651
651655
6616533
671651
681651
691653
701655
711651
721653
731651
741651
75165
761651
7716511
781653
791651
801655
811653
821651
831651
841653
851655
861651
871653
8816511
891651

FAQ

What is the Greatest common Divisor of 75 and 165?

GCF of 75 and 165 is 15