GCF of 15 and 60 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 15 and 60?

Answer

GCF of 15 and 60 is 15

(Fifteen)

Finding GCF for 15 and 60 using all factors (divisors) listing

The first method to find GCF for numbers 15 and 60 is to list all factors for both numbers and pick the highest common one:

All factors of 15: 1, 3, 5, 15

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

So the Greatest Common Factor for 15 and 60 is 15

Finding GCF for 15 and 60 by Prime Factorization

The second method to find GCF for numbers 15 and 60 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 15: 3, 5

All Prime Factors of 60: 2, 2, 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

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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 15 and 60? (The answer is: 15). Select the first number (e.g. '15') and the second number (e.g. '60'). 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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
15183
15205
15213
15221
15231
15243
15255
15261
15273
15281
15291
153015
15321
15333
15355
15363
15381
15405
15423
15441
154515
15483
15491
15505
15531
15543
15555
15561
15573
156015

FAQ

What is the Greatest Common Divisor of 15 and 60?

GCF of 15 and 60 is 15

How to find the GCF of 15 and 60?

You can find the GCF of 15 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 15 and 60 is 15.

See Also