GCF for 54 and 180

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 180?

Answer: GCF of 54 and 180 is 18

(Eighteen)

Finding GCF for 54 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 180 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 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

So the Greatest Common Factor for 54 and 180 is 18

Finding GCF for 54 and 180 by Prime Factorization

The second method to find GCF for numbers 54 and 180 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 180: 2, 2, 3, 3, 5

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

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 180? (The answer is: 18). Select the first number (e.g. '54') and the second number (e.g. '180'). 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
391803
4018020
411801
421806
431801
441804
4518045
461802
471801
4818012
491801
5018010
511803
521804
531801
5418018
551805
561804
571803
581802
591801
6018060
611801
621802
631809
641804
651805
661806
671801
681804

FAQ

What is the Greatest common Divisor of 54 and 180?

GCF of 54 and 180 is 18

See Also