Greatest Common Factor of 6003 and 6005

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, 6005 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6003 and 6005 is 1.

GCF(6003,6005) = 1

GCF of 6003 and 6005

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

GCF of:
and

Greatest Common Factor of 6003 and 6005

GCF of 6003 and 6005 is 1

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 6005


5 6005
1201 1201
1

Prime factors of 6005 are 5,1201. Prime factorization of 6005 in exponential form is:

6005 = 51×12011

∴ So by taking common prime factors GCF of 6003 and 6005 is 1

Greatest Common Factor of 6003 and 6005 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 6005

List of positive integer factors of 6005 that divides 6005 without a remainder.

1,5,1201,6005

Greatest Common Factor

We found the factors and prime factorization of 6003 and 6005. The biggest common factor number is the GCF number.
So the greatest common factor 6003 and 6005 is 1.

Also check out the Least Common Multiple of 6003 and 6005

Properties of GCF 6003 and 6005

(i) The GCF of 6003 and 6005 is associative

GCF of 6003 and 6005 = GCF of 6005 and 6003

Related Greatest Common Factor of 6003

Related Greatest Common Factor of 6005

Frequently Asked Questions on GCF of 6003 and 6005

1. What is the GCF of 6003 and 6005?

Answer: GCF of 6003 and 6005 is 1.

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 6005?

Answer: Factors of 6005 are 1, 5, 1201, 6005. There are 4 integers that are factors of 6005. The greatest factor of 6005 is 6005.

4. How to Find the GCF of 6003 and 6005?

Answer:

Greatest Common Factor of 6003 and 6005 = 1

Step 1: Find the prime factorization of 6003

6003 = 3 x 3 x 23 x 29

Step 2: Find the prime factorization of 6005

6005 = 5 x 1201

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 6003 and 6005 is 1