Greatest Common Factor of 6039 and 6045

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 6039, 6045 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6039 and 6045 is 3.

GCF(6039,6045) = 3

GCF of 6039 and 6045

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

GCF of:
and

Greatest Common Factor of 6039 and 6045

GCF of 6039 and 6045 is 3

Prime Factorization of 6039


3 6039
3 2013
11 671
61 61
1

Prime factors of 6039 are 3,11,61. Prime factorization of 6039 in exponential form is:

6039 = 32×111×611

Prime Factorization of 6045


3 6045
5 2015
13 403
31 31
1

Prime factors of 6045 are 3,5,13,31. Prime factorization of 6045 in exponential form is:

6045 = 31×51×131×311

∴ So by taking common prime factors GCF of 6039 and 6045 is 3

Greatest Common Factor of 6039 and 6045 by matching factors method

Factors of 6039

List of positive integer factors of 6039 that divides 6039 without a remainder.

1,3,9,11,33,61,99,183,549,671,2013,6039

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Greatest Common Factor

We found the factors and prime factorization of 6039 and 6045. The biggest common factor number is the GCF number.
So the greatest common factor 6039 and 6045 is 3.

Also check out the Least Common Multiple of 6039 and 6045

Properties of GCF 6039 and 6045

(i) The GCF of 6039 and 6045 is associative

GCF of 6039 and 6045 = GCF of 6045 and 6039

Related Greatest Common Factor of 6039

Related Greatest Common Factor of 6045

Frequently Asked Questions on GCF of 6039 and 6045

1. What is the GCF of 6039 and 6045?

Answer: GCF of 6039 and 6045 is 3.

2. What are the Factors of 6039?

Answer: Factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039. There are 12 integers that are factors of 6039. The greatest factor of 6039 is 6039.

3. What are the Factors of 6045?

Answer: Factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045. There are 16 integers that are factors of 6045. The greatest factor of 6045 is 6045.

4. How to Find the GCF of 6039 and 6045?

Answer:

Greatest Common Factor of 6039 and 6045 = 3

Step 1: Find the prime factorization of 6039

6039 = 3 x 3 x 11 x 61

Step 2: Find the prime factorization of 6045

6045 = 3 x 5 x 13 x 31

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 6039 and 6045 is 3