GCF for 54 and 60

"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

Related Calculations

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 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
39603
406020
41601
42606
43601
44604
456015
46602
47601
486012
49601
506010
51603
52604
53601
54606
55605
56604
57603
58602
59601
606060
61601
62602
63603
64604
65605
66606
67601
68604

FAQ

What is the Greatest common Divisor of 54 and 60?

GCF of 54 and 60 is 6

See Also