GCF for 60 and 105

What is the Greatest common Divisor of 60 and 105?

Answer: GCF of 60 and 105 is 15

(Fifteen)

Finding GCF for 60 and 105 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 105 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 105: 1, 3, 5, 7, 15, 21, 35, 105

So the Greatest Common Factor for 60 and 105 is 15

Finding GCF for 60 and 105 by Prime Factorization

The second method to find GCF for numbers 60 and 105 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 105: 3, 5, 7

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 105? (The answer is: 15). Select the first number (e.g. '60') and the second number (e.g. '105'). 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
45105
461051
471051
481053
491057
501055
511053
521051
531051
541053
551055
561057
571053
581051
591051
60105
611051
621051
63105
641051
651055
661053
671051
681051
691053
70105
711051
721053
731051
741051

FAQ

What is the Greatest common Divisor of 60 and 105?

GCF of 60 and 105 is 15