GCF for 81 and 135

What is the Greatest common Divisor of 81 and 135?

Answer: GCF of 81 and 135 is 27

(Twenty-seven)

Finding GCF for 81 and 135 using all factors (divisors) listing

The first method to find GCF for numbers 81 and 135 is to list all factors for both numbers and pick the highest common one:

All factors of 81: 1, 3, 9, 27, 81

All factors of 135: 1, 3, 5, 9, 15, 27, 45, 135

So the Greatest Common Factor for 81 and 135 is 27

Finding GCF for 81 and 135 by Prime Factorization

The second method to find GCF for numbers 81 and 135 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 81: 3, 3, 3, 3

All Prime Factors of 135: 3, 3, 3, 5

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

Now we need to multiply them to find GCF: 3 × 3 × 3 = 27

Related Calculations

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 81 and 135? (The answer is: 27). Select the first number (e.g. '81') 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

GCF Table

Number 1Number 2GCF
661353
671351
681351
691353
701355
711351
721359
731351
741351
75135
761351
771351
781353
791351
801355
81135
821351
831351
841353
851355
861351
871353
881351
891351
90135
911351
921351
931353
941351
951355

FAQ

What is the Greatest common Divisor of 81 and 135?

GCF of 81 and 135 is 27