Greatest Common Factor of 36039 and 36045

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 36039, 36045 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36039 and 36045 is 3.

GCF(36039,36045) = 3

GCF of 36039 and 36045

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

GCF of:
and

Greatest Common Factor of 36039 and 36045

GCF of 36039 and 36045 is 3

Prime Factorization of 36039


3 36039
41 12013
293 293
1

Prime factors of 36039 are 3,41,293. Prime factorization of 36039 in exponential form is:

36039 = 31×411×2931

Prime Factorization of 36045


3 36045
3 12015
3 4005
3 1335
5 445
89 89
1

Prime factors of 36045 are 3,5,89. Prime factorization of 36045 in exponential form is:

36045 = 34×51×891

∴ So by taking common prime factors GCF of 36039 and 36045 is 3

Greatest Common Factor of 36039 and 36045 by matching factors method

Factors of 36039

List of positive integer factors of 36039 that divides 36039 without a remainder.

1,3,41,123,293,879,12013,36039

Factors of 36045

List of positive integer factors of 36045 that divides 36045 without a remainder.

1,3,5,9,15,27,45,81,89,135,267,405,445,801,1335,2403,4005,7209,12015,36045

Greatest Common Factor

We found the factors and prime factorization of 36039 and 36045. The biggest common factor number is the GCF number.
So the greatest common factor 36039 and 36045 is 3.

Also check out the Least Common Multiple of 36039 and 36045

Properties of GCF 36039 and 36045

(i) The GCF of 36039 and 36045 is associative

GCF of 36039 and 36045 = GCF of 36045 and 36039

Related Greatest Common Factor of 36039

Related Greatest Common Factor of 36045

Frequently Asked Questions on GCF of 36039 and 36045

1. What is the GCF of 36039 and 36045?

Answer: GCF of 36039 and 36045 is 3.

2. What are the Factors of 36039?

Answer: Factors of 36039 are 1, 3, 41, 123, 293, 879, 12013, 36039. There are 8 integers that are factors of 36039. The greatest factor of 36039 is 36039.

3. What are the Factors of 36045?

Answer: Factors of 36045 are 1, 3, 5, 9, 15, 27, 45, 81, 89, 135, 267, 405, 445, 801, 1335, 2403, 4005, 7209, 12015, 36045. There are 20 integers that are factors of 36045. The greatest factor of 36045 is 36045.

4. How to Find the GCF of 36039 and 36045?

Answer:

Greatest Common Factor of 36039 and 36045 = 3

Step 1: Find the prime factorization of 36039

36039 = 3 x 41 x 293

Step 2: Find the prime factorization of 36045

36045 = 3 x 3 x 3 x 3 x 5 x 89

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 36039 and 36045 is 3