GCF of 14 and 60 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 14 and 60?

Answer

GCF of 14 and 60 is 2

(Two)

Finding GCF for 14 and 60 using all factors (divisors) listing

The first method to find GCF for numbers 14 and 60 is to list all factors for both numbers and pick the highest common one:

All factors of 14: 1, 2, 7, 14

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

So the Greatest Common Factor for 14 and 60 is 2

Finding GCF for 14 and 60 by Prime Factorization

The second method to find GCF for numbers 14 and 60 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 14: 2, 7

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

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 14 and 60

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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 14 and 60? (The answer is: 2). Select the first number (e.g. '14') 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
14262
14271
142814
14302
14322
14331
14342
14357
14362
14371
14382
14391
14402
14411
144214
14431
14442
14451
14462
14471
14482
14497
14502
14542
14551
145614
14582
14591
14602
142177

FAQ

What is the Greatest Common Divisor of 14 and 60?

GCF of 14 and 60 is 2

How to find the GCF of 14 and 60?

You can find the GCF of 14 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 14 and 60 is 2.

See Also