Greatest Common Factor of 27 and 39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 27, 39 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27 and 39 is 3.

GCF(27,39) = 3

GCF of 27 and 39

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 27 and 39

GCF of 27 and 39 is 3

Prime Factorization of 27


3 27
3 9
3 3
1

Prime factors of 27 are 3. Prime factorization of 27 in exponential form is:

27 = 33

Prime Factorization of 39


3 39
13 13
1

Prime factors of 39 are 3.Prime factorization of 39 in exponential form is:

39 = 31×131

∴ So by taking common prime factors GCF of 27 and 39 is 3

Greatest Common Factor of 27 and 39 by matching factors method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors and prime factorization of 27 and 39. The biggest common factor number is the GCF number.
So the greatest common factor 27 and 39 is 3.

Also check out the Least Common Multiple of 27 and 39

Properties of GCF 27 and 39

(i) The GCF of 27 and 39 is associative

GCF of 27 and 39 = GCF of 39 and 27

Related Greatest Common Factor of 27

Related Greatest Common Factor of 39

Frequently Asked Questions on GCF of 27 and 39

1. What is the GCF of 27 and 39?

Answer: GCF of 27 and 39 is 3.

2. What are the Factors of 27?

Answer: Factors of 27 are 1, 3, 9, 27. There are 4 integers that are factors of 27. The greatest factor of 27 is 27.

3. What are the Factors of 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

4. How to Find the GCF of 27 and 39?

Answer:

Greatest Common Factor of 27 and 39 = 3

Step 1: Find the prime factorization of 27

27 = 3 x 3 x 3

Step 2: Find the prime factorization of 39

39 = 3 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 27 and 39 is 3