GCF for 60 and 135

What is the Greatest common Divisor of 60 and 135?

Answer: GCF of 60 and 135 is 15

(Fifteen)

Finding GCF for 60 and 135 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 135 is to list all factors for both numbers and pick the highest common one:

All factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

So the Greatest Common Factor for 60 and 135 is 15

Finding GCF for 60 and 135 by Prime Factorization

The second method to find GCF for numbers 60 and 135 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 60: 2, 2, 3, 5

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

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

Now we need to multiply them to find GCF: 3 × 5 = 15

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 60 and 135? (The answer is: 15). Select the first number (e.g. '60') 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
4513545
461351
471351
481353
491351
501355
511353
521351
531351
5413527
551355
561351
571353
581351
591351
60135
611351
621351
631359
641351
651355
661353
671351
681351
691353
701355
711351
721359
731351
741351

FAQ

What is the Greatest common Divisor of 60 and 135?

GCF of 60 and 135 is 15