GCF for 90 and 150

What is the Greatest common Divisor of 90 and 150?

Answer: GCF of 90 and 150 is 30

(Thirty)

Finding GCF for 90 and 150 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 150 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 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

So the Greatest Common Factor for 90 and 150 is 30

Finding GCF for 90 and 150 by Prime Factorization

The second method to find GCF for numbers 90 and 150 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 150: 2, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

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 90 and 150? (The answer is: 30). Select the first number (e.g. '90') 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
75150
761502
771501
781506
791501
8015010
811503
821502
831501
841506
851505
861502
871503
881502
891501
90150
911501
921502
931503
941502
951505
961506
971501
981502
991503
100150
1011501
1021506
1031501
1041502

FAQ

What is the Greatest common Divisor of 90 and 150?

GCF of 90 and 150 is 30