GCF for 54 and 99

What is the Greatest common Divisor of 54 and 99?

Answer: GCF of 54 and 99 is 9

(Nine)

Finding GCF for 54 and 99 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 99 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 99: 1, 3, 9, 11, 33, 99

So the Greatest Common Factor for 54 and 99 is 9

Finding GCF for 54 and 99 by Prime Factorization

The second method to find GCF for numbers 54 and 99 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 99: 3, 3, 11

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

Now we need to multiply them to find GCF: 3 × 3 = 9

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 99? (The answer is: 9). Select the first number (e.g. '54') and the second number (e.g. '99'). 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
39993
40991
41991
42993
43991
449911
45999
46991
47991
48993
49991
50991
51993
52991
53991
5499
559911
56991
57993
58991
59991
60993
61991
62991
6399
64991
65991
6699
67991
68991

FAQ

What is the Greatest common Divisor of 54 and 99?

GCF of 54 and 99 is 9