GCF for 54 and 144

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 144?

Answer: GCF of 54 and 144 is 18

(Eighteen)

Finding GCF for 54 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 144 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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 54 and 144 is 18

Finding GCF for 54 and 144 by Prime Factorization

The second method to find GCF for numbers 54 and 144 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 144: 2, 2, 2, 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

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 144? (The answer is: 18). Select the first number (e.g. '54') and the second number (e.g. '144'). 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
391443
401448
411441
421446
431441
441444
451449
461442
471441
4814448
491441
501442
511443
521444
531441
5414418
551441
561448
571443
581442
591441
6014412
611441
621442
631449
6414416
651441
661446
671441
681444

FAQ

What is the Greatest common Divisor of 54 and 144?

GCF of 54 and 144 is 18

See Also