GCF for 54 and 240

What is the Greatest common Divisor of 54 and 240?

Answer: GCF of 54 and 240 is 6

(Six)

Finding GCF for 54 and 240 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 240 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 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

So the Greatest Common Factor for 54 and 240 is 6

Finding GCF for 54 and 240 by Prime Factorization

The second method to find GCF for numbers 54 and 240 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 240: 2, 2, 2, 2, 3, 5

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 240? (The answer is: 6). Select the first number (e.g. '54') and the second number (e.g. '240'). 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

GCF Table

Number 1Number 2GCF
392403
4024040
412401
422406
432401
442404
4524015
462402
472401
4824048
492401
5024010
512403
522404
532401
54240
552405
562408
572403
582402
592401
60240
612401
622402
632403
6424016
652405
662406
672401
682404

FAQ

What is the Greatest common Divisor of 54 and 240?

GCF of 54 and 240 is 6