GCF for 60 and 108

What is the Greatest common Divisor of 60 and 108?

Answer: GCF of 60 and 108 is 12

(Twelve)

Finding GCF for 60 and 108 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 108 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 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

So the Greatest Common Factor for 60 and 108 is 12

Finding GCF for 60 and 108 by Prime Factorization

The second method to find GCF for numbers 60 and 108 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 108: 2, 2, 3, 3, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

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 108? (The answer is: 12). Select the first number (e.g. '60') 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

GCF Table

Number 1Number 2GCF
451089
461082
471081
48108
491081
501082
511083
521084
531081
5410854
551081
561084
571083
581082
591081
60108
611081
621082
631089
641084
651081
661086
671081
681084
691083
701082
711081
72108
731081
741082

FAQ

What is the Greatest common Divisor of 60 and 108?

GCF of 60 and 108 is 12