GCF for 54 and 168

What is the Greatest common Divisor of 54 and 168?

Answer: GCF of 54 and 168 is 6

(Six)

Finding GCF for 54 and 168 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 168 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 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

So the Greatest Common Factor for 54 and 168 is 6

Finding GCF for 54 and 168 by Prime Factorization

The second method to find GCF for numbers 54 and 168 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 168: 2, 2, 2, 3, 7

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 168? (The answer is: 6). Select the first number (e.g. '54') and the second number (e.g. '168'). 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
391683
401688
411681
4216842
431681
441684
451683
461682
471681
4816824
491687
501682
511683
521684
531681
54168
551681
56168
571683
581682
591681
6016812
611681
621682
6316821
641688
651681
661686
671681
681684

FAQ

What is the Greatest common Divisor of 54 and 168?

GCF of 54 and 168 is 6