GCF for 90 and 108

What is the Greatest common Divisor of 90 and 108?

Answer: GCF of 90 and 108 is 18

(Eighteen)

Finding GCF for 90 and 108 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 108 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 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

So the Greatest Common Factor for 90 and 108 is 18

Finding GCF for 90 and 108 by Prime Factorization

The second method to find GCF for numbers 90 and 108 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 108: 2, 2, 3, 3, 3

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

Now we need to multiply them to find GCF: 2 × 3 × 3 = 18

GCF Table

Number 1Number 2GCF
751083
761084
771081
781086
791081
801084
81108
821082
831081
84108
851081
861082
871083
881084
891081
90108
911081
921084
931083
941082
951081
96108
971081
981082
991089
1001084
1011081
1021086
1031081
1041084

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 108? (The answer is: 18). Select the first number (e.g. '90') and the second number (e.g. '108'). 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 108?

GCF of 90 and 108 is 18