GCF of 54 and 126 (Greatest Common Factor)

"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
541113
541122
541131
541146
541151
541162
541179
541182
541191
541206
541211
541222
541233
541242
541251
5412618
541271
541282
541293
541302
541311
541326
541331
541342
5413527
541362
541371
541386
541391
541402

FAQ

What is the Greatest Common Divisor of 54 and 126?

GCF of 54 and 126 is 18

How to find the GCF of 54 and 126?

You can find the GCF of 54 and 126 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 126 is 18.

See Also