GCF for 90 and 125

What is the Greatest common Divisor of 90 and 125?

Answer: GCF of 90 and 125 is 5

(Five)

Finding GCF for 90 and 125 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 125 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 125: 1, 5, 25, 125

So the Greatest Common Factor for 90 and 125 is 5

Finding GCF for 90 and 125 by Prime Factorization

The second method to find GCF for numbers 90 and 125 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 125: 5, 5, 5

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 90 and 125

GCF Table

Number 1Number 2GCF
75125
761251
771251
781251
791251
801255
811251
821251
831251
841251
851255
861251
871251
881251
891251
901255
911251
921251
931251
941251
951255
961251
971251
981251
991251
100125
1011251
1021251
1031251
1041251

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 125? (The answer is: 5). Select the first number (e.g. '90') and the second number (e.g. '125'). 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 125?

GCF of 90 and 125 is 5