Greatest Common Factor of 6036 and 6039

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 6036, 6039 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6036 and 6039 is 3.

GCF(6036,6039) = 3

GCF of 6036 and 6039

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

GCF of:
and

Greatest Common Factor of 6036 and 6039

GCF of 6036 and 6039 is 3

Prime Factorization of 6036


2 6036
2 3018
3 1509
503 503
1

Prime factors of 6036 are 2,3,503. Prime factorization of 6036 in exponential form is:

6036 = 22×31×5031

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

∴ So by taking common prime factors GCF of 6036 and 6039 is 3

Greatest Common Factor of 6036 and 6039 by matching factors method

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1,2,3,4,6,12,503,1006,1509,2012,3018,6036

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

Greatest Common Factor

We found the factors and prime factorization of 6036 and 6039. The biggest common factor number is the GCF number.
So the greatest common factor 6036 and 6039 is 3.

Also check out the Least Common Multiple of 6036 and 6039

Properties of GCF 6036 and 6039

(i) The GCF of 6036 and 6039 is associative

GCF of 6036 and 6039 = GCF of 6039 and 6036

Related Greatest Common Factor of 6036

Related Greatest Common Factor of 6039

Frequently Asked Questions on GCF of 6036 and 6039

1. What is the GCF of 6036 and 6039?

Answer: GCF of 6036 and 6039 is 3.

2. What are the Factors of 6036?

Answer: Factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036. There are 12 integers that are factors of 6036. The greatest factor of 6036 is 6036.

3. 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.

4. How to Find the GCF of 6036 and 6039?

Answer:

Greatest Common Factor of 6036 and 6039 = 3

Step 1: Find the prime factorization of 6036

6036 = 2 x 2 x 3 x 503

Step 2: Find the prime factorization of 6039

6039 = 3 x 3 x 11 x 61

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 6036 and 6039 is 3