GCF for 36 and 27

What is the Greatest common Divisor of 36 and 27?

Answer: GCF of 36 and 27 is 9

(Nine)

Finding GCF for 36 and 27 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 27 is to list all factors for both numbers and pick the highest common one:

All factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

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

So the Greatest Common Factor for 36 and 27 is 9

Finding GCF for 36 and 27 by Prime Factorization

The second method to find GCF for numbers 36 and 27 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 36: 2, 2, 3, 3

All Prime Factors of 27: 3, 3, 3

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 36 and 27? (The answer is: 9). Select the first number (e.g. '36') and the second number (e.g. '27'). 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
2127
2227
23271
2427
25271
2627
272727
28271
29271
30273
31271
32271
33273
34271
35271
3627
37271
38271
39273
40271
41271
42273
43271
44271
45279
46271
47271
48273
49271
50271

FAQ

What is the Greatest common Divisor of 36 and 27?

GCF of 36 and 27 is 9