GCF for 75 and 180

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 75 and 180?

Answer: GCF of 75 and 180 is 15

(Fifteen)

Finding GCF for 75 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 75 and 180 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 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

So the Greatest Common Factor for 75 and 180 is 15

Finding GCF for 75 and 180 by Prime Factorization

The second method to find GCF for numbers 75 and 180 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 180: 2, 2, 3, 3, 5

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 75 and 180? (The answer is: 15). Select the first number (e.g. '75') and the second number (e.g. '180'). 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
6018060
611801
621802
631809
641804
651805
661806
671801
681804
691803
7018010
711801
7218036
731801
741802
7518015
761804
771801
781806
791801
8018020
811809
821802
831801
8418012
851805
861802
871803
881804
891801

FAQ

What is the Greatest common Divisor of 75 and 180?

GCF of 75 and 180 is 15

See Also