Greatest Common Factor of 5997 and 6003

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 5997, 6003 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5997 and 6003 is 3.

GCF(5997,6003) = 3

GCF of 5997 and 6003

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

GCF of:
and

Greatest Common Factor of 5997 and 6003

GCF of 5997 and 6003 is 3

Prime Factorization of 5997


3 5997
1999 1999
1

Prime factors of 5997 are 3,1999. Prime factorization of 5997 in exponential form is:

5997 = 31×19991

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

∴ So by taking common prime factors GCF of 5997 and 6003 is 3

Greatest Common Factor of 5997 and 6003 by matching factors method

Factors of 5997

List of positive integer factors of 5997 that divides 5997 without a remainder.

1,3,1999,5997

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

Greatest Common Factor

We found the factors and prime factorization of 5997 and 6003. The biggest common factor number is the GCF number.
So the greatest common factor 5997 and 6003 is 3.

Also check out the Least Common Multiple of 5997 and 6003

Properties of GCF 5997 and 6003

(i) The GCF of 5997 and 6003 is associative

GCF of 5997 and 6003 = GCF of 6003 and 5997

Related Greatest Common Factor of 5997

Related Greatest Common Factor of 6003

Frequently Asked Questions on GCF of 5997 and 6003

1. What is the GCF of 5997 and 6003?

Answer: GCF of 5997 and 6003 is 3.

2. What are the Factors of 5997?

Answer: Factors of 5997 are 1, 3, 1999, 5997. There are 4 integers that are factors of 5997. The greatest factor of 5997 is 5997.

3. 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.

4. How to Find the GCF of 5997 and 6003?

Answer:

Greatest Common Factor of 5997 and 6003 = 3

Step 1: Find the prime factorization of 5997

5997 = 3 x 1999

Step 2: Find the prime factorization of 6003

6003 = 3 x 3 x 23 x 29

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 5997 and 6003 is 3