GCF for 75 and 150

What is the Greatest common Divisor of 75 and 150?

Answer: GCF of 75 and 150 is 75

(Seventy-five)

Finding GCF for 75 and 150 using all factors (divisors) listing

The first method to find GCF for numbers 75 and 150 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 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

So the Greatest Common Factor for 75 and 150 is 75

Finding GCF for 75 and 150 by Prime Factorization

The second method to find GCF for numbers 75 and 150 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 150: 2, 3, 5, 5

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

Now we need to multiply them to find GCF: 3 × 5 × 5 = 75

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 150? (The answer is: 75). Select the first number (e.g. '75') and the second number (e.g. '150'). 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
60150
611501
621502
631503
641502
651505
661506
671501
681502
691503
7015010
711501
721506
731501
741502
75150
761502
771501
781506
791501
8015010
811503
821502
831501
841506
851505
861502
871503
881502
891501

FAQ

What is the Greatest common Divisor of 75 and 150?

GCF of 75 and 150 is 75