GCF for 54 and 18

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 18?

Answer: GCF of 54 and 18 is 18

(Eighteen)

Finding GCF for 54 and 18 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 18 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 18: 1, 2, 3, 6, 9, 18

So the Greatest Common Factor for 54 and 18 is 18

Finding GCF for 54 and 18 by Prime Factorization

The second method to find GCF for numbers 54 and 18 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 18: 2, 3, 3

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

Now we need to multiply them to find GCF: 2 × 3 × 3 = 18

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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 18? (The answer is: 18). Select the first number (e.g. '54') and the second number (e.g. '18'). 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
39183
40182
41181
42186
43181
44182
45189
46182
47181
48186
49181
50182
51183
52182
53181
541818
55181
56182
57183
58182
59181
60186
61181
62182
63189
64182
65181
66186
67181
68182

FAQ

What is the Greatest common Divisor of 54 and 18?

GCF of 54 and 18 is 18

See Also