GCF for 27 and 117

What is the Greatest common Divisor of 27 and 117?

Answer: GCF of 27 and 117 is 9

(Nine)

Finding GCF for 27 and 117 using all factors (divisors) listing

The first method to find GCF for numbers 27 and 117 is to list all factors for both numbers and pick the highest common one:

All factors of 27: 1, 3, 9, 27

All factors of 117: 1, 3, 9, 13, 39, 117

So the Greatest Common Factor for 27 and 117 is 9

Finding GCF for 27 and 117 by Prime Factorization

The second method to find GCF for numbers 27 and 117 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 27: 3, 3, 3

All Prime Factors of 117: 3, 3, 13

As we can see there are Prime Factors common to both numbers: 3, 3

Now we need to multiply them to find GCF: 3 × 3 = 9

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 27 and 117? (The answer is: 9). Select the first number (e.g. '27') and the second number (e.g. '117'). 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
121173
1311713
141171
151173
161171
171171
181179
191171
201171
211173
221171
231171
241173
251171
26117
27117
281171
291171
301173
311171
321171
331173
341171
351171
361179
371171
381171
39117
401171
411171

FAQ

What is the Greatest common Divisor of 27 and 117?

GCF of 27 and 117 is 9