GCF of 54 and 60 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 54 and 60?

Answer

GCF of 54 and 60 is 6

(Six)

Finding GCF for 54 and 60 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 60 is to list all factors for both numbers and pick the highest common one:

All factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

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

So the Greatest Common Factor for 54 and 60 is 6

Finding GCF for 54 and 60 by Prime Factorization

The second method to find GCF for numbers 54 and 60 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 54: 2, 3, 3, 3

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

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

Now we need to multiply them to find GCF: 2 × 3 = 6

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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 54 and 60? (The answer is: 6). Select the first number (e.g. '54') 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
54459
54462
54471
54486
54491
54502
54513
54522
54531
545454
54551
54562
54573
54582
54591
54606
54611
54622
54639
54642
54651
54666
54671
54682
54693
54702
54711
547218
54731
54742

FAQ

What is the Greatest Common Divisor of 54 and 60?

GCF of 54 and 60 is 6

How to find the GCF of 54 and 60?

You can find the GCF of 54 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 60 is 6.

See Also