Greatest Common Factor of 6003 and 6006

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 6003, 6006 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6003 and 6006 is 3.

GCF(6003,6006) = 3

GCF of 6003 and 6006

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

GCF of:
and

Greatest Common Factor of 6003 and 6006

GCF of 6003 and 6006 is 3

Prime Factorization of 6003


3 6003
3 2001
23 667
29 29
1

Prime factors of 6003 are 3,23,29. Prime factorization of 6003 in exponential form is:

6003 = 32×231×291

Prime Factorization of 6006


2 6006
3 3003
7 1001
11 143
13 13
1

Prime factors of 6006 are 2,3,7,11,13. Prime factorization of 6006 in exponential form is:

6006 = 21×31×71×111×131

∴ So by taking common prime factors GCF of 6003 and 6006 is 3

Greatest Common Factor of 6003 and 6006 by matching factors method

Factors of 6003

List of positive integer factors of 6003 that divides 6003 without a remainder.

1,3,9,23,29,69,87,207,261,667,2001,6003

Factors of 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006

Greatest Common Factor

We found the factors and prime factorization of 6003 and 6006. The biggest common factor number is the GCF number.
So the greatest common factor 6003 and 6006 is 3.

Also check out the Least Common Multiple of 6003 and 6006

Properties of GCF 6003 and 6006

(i) The GCF of 6003 and 6006 is associative

GCF of 6003 and 6006 = GCF of 6006 and 6003

Related Greatest Common Factor of 6003

Related Greatest Common Factor of 6006

Frequently Asked Questions on GCF of 6003 and 6006

1. What is the GCF of 6003 and 6006?

Answer: GCF of 6003 and 6006 is 3.

2. What are the Factors of 6003?

Answer: Factors of 6003 are 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003. There are 12 integers that are factors of 6003. The greatest factor of 6003 is 6003.

3. What are the Factors of 6006?

Answer: Factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006. There are 32 integers that are factors of 6006. The greatest factor of 6006 is 6006.

4. How to Find the GCF of 6003 and 6006?

Answer:

Greatest Common Factor of 6003 and 6006 = 3

Step 1: Find the prime factorization of 6003

6003 = 3 x 3 x 23 x 29

Step 2: Find the prime factorization of 6006

6006 = 2 x 3 x 7 x 11 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 6003 and 6006 is 3