GCF for 54 and 126

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 126?

Answer: GCF of 54 and 126 is 18

(Eighteen)

Finding GCF for 54 and 126 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 126 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 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

So the Greatest Common Factor for 54 and 126 is 18

Finding GCF for 54 and 126 by Prime Factorization

The second method to find GCF for numbers 54 and 126 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 126: 2, 3, 3, 7

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

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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 126? (The answer is: 18). Select the first number (e.g. '54') and the second number (e.g. '126'). 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
391263
401262
411261
4212642
431261
441262
451269
461262
471261
481266
491267
501262
511263
521262
531261
5412618
551261
5612614
571263
581262
591261
601266
611261
621262
6312663
641262
651261
661266
671261
681262

FAQ

What is the Greatest common Divisor of 54 and 126?

GCF of 54 and 126 is 18

See Also