Greatest Common Factor of 36 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 36, 39 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36 and 39 is 3.

GCF(36,39) = 3

GCF of 36 and 39

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

GCF of:
and

Greatest Common Factor of 36 and 39

GCF of 36 and 39 is 3

Prime Factorization of 36


2 36
2 18
3 9
3 3
1

Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:

36 = 22×32

Prime Factorization of 39


3 39
13 13
1

Prime factors of 39 are 3,13. Prime factorization of 39 in exponential form is:

39 = 31×131

∴ So by taking common prime factors GCF of 36 and 39 is 3

Greatest Common Factor of 36 and 39 by matching factors method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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 36 and 39. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 39 is 3.

Also check out the Least Common Multiple of 36 and 39

Properties of GCF 36 and 39

(i) The GCF of 36 and 39 is associative

GCF of 36 and 39 = GCF of 39 and 36

Related Greatest Common Factor of 36

Related Greatest Common Factor of 39

Frequently Asked Questions on GCF of 36 and 39

1. What is the GCF of 36 and 39?

Answer: GCF of 36 and 39 is 3.

2. What are the Factors of 36?

Answer: Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. There are 9 integers that are factors of 36. The greatest factor of 36 is 36.

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 36 and 39?

Answer:

Greatest Common Factor of 36 and 39 = 3

Step 1: Find the prime factorization of 36

36 = 2 x 2 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 36 and 39 is 3