GCF for 54 and 96

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 96?

Answer: GCF of 54 and 96 is 6

(Six)

Finding GCF for 54 and 96 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 96 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 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

So the Greatest Common Factor for 54 and 96 is 6

Finding GCF for 54 and 96 by Prime Factorization

The second method to find GCF for numbers 54 and 96 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 96: 2, 2, 2, 2, 2, 3

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

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 96? (The answer is: 6). Select the first number (e.g. '54') and the second number (e.g. '96'). 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
39963
40968
41961
42966
43961
44964
45963
46962
47961
489648
49961
50962
51963
52964
53961
54966
55961
56968
57963
58962
59961
609612
61961
62962
63963
649632
65961
66966
67961
68964

FAQ

What is the Greatest common Divisor of 54 and 96?

GCF of 54 and 96 is 6

See Also