GCF for 90 and 135

What is the Greatest common Divisor of 90 and 135?

Answer: GCF of 90 and 135 is 45

(Forty-five)

Finding GCF for 90 and 135 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 135 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 135: 1, 3, 5, 9, 15, 27, 45, 135

So the Greatest Common Factor for 90 and 135 is 45

Finding GCF for 90 and 135 by Prime Factorization

The second method to find GCF for numbers 90 and 135 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 135: 3, 3, 3, 5

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

Now we need to multiply them to find GCF: 3 × 3 × 5 = 45

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
75135
761351
771351
781353
791351
801355
81135
821351
831351
841353
851355
861351
871353
881351
891351
90135
911351
921351
931353
941351
951355
961353
971351
981351
991359
1001355
1011351
1021353
1031351
1041351

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 135? (The answer is: 45). Select the first number (e.g. '90') and the second number (e.g. '135'). 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

FAQ

What is the Greatest common Divisor of 90 and 135?

GCF of 90 and 135 is 45