GCF for 54 and 360

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 360?

Answer: GCF of 54 and 360 is 18

(Eighteen)

Finding GCF for 54 and 360 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 360 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 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

So the Greatest Common Factor for 54 and 360 is 18

Finding GCF for 54 and 360 by Prime Factorization

The second method to find GCF for numbers 54 and 360 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 360: 2, 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 360? (The answer is: 18). Select the first number (e.g. '54') and the second number (e.g. '360'). 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
393603
4036040
413601
423606
433601
443604
4536045
463602
473601
4836024
493601
5036010
513603
523604
533601
5436018
553605
563608
573603
583602
593601
6036060
613601
623602
633609
643608
653605
663606
673601
683604

FAQ

What is the Greatest common Divisor of 54 and 360?

GCF of 54 and 360 is 18

See Also