Greatest Common Factor of 3003 and 3004

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 3003, 3004 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3003 and 3004 is 1.

GCF(3003,3004) = 1

GCF of 3003 and 3004

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

GCF of:
and

Greatest Common Factor of 3003 and 3004

GCF of 3003 and 3004 is 1

Prime Factorization of 3003


3 3003
7 1001
11 143
13 13
1

Prime factors of 3003 are 3,7,11,13. Prime factorization of 3003 in exponential form is:

3003 = 31×71×111×131

Prime Factorization of 3004


2 3004
2 1502
751 751
1

Prime factors of 3004 are 2,751. Prime factorization of 3004 in exponential form is:

3004 = 22×7511

∴ So by taking common prime factors GCF of 3003 and 3004 is 1

Greatest Common Factor of 3003 and 3004 by matching factors method

Factors of 3003

List of positive integer factors of 3003 that divides 3003 without a remainder.

1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003

Factors of 3004

List of positive integer factors of 3004 that divides 3004 without a remainder.

1,2,4,751,1502,3004

Greatest Common Factor

We found the factors and prime factorization of 3003 and 3004. The biggest common factor number is the GCF number.
So the greatest common factor 3003 and 3004 is 1.

Also check out the Least Common Multiple of 3003 and 3004

Properties of GCF 3003 and 3004

(i) The GCF of 3003 and 3004 is associative

GCF of 3003 and 3004 = GCF of 3004 and 3003

Related Greatest Common Factor of 3003

Related Greatest Common Factor of 3004

Frequently Asked Questions on GCF of 3003 and 3004

1. What is the GCF of 3003 and 3004?

Answer: GCF of 3003 and 3004 is 1.

2. What are the Factors of 3003?

Answer: Factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003. There are 16 integers that are factors of 3003. The greatest factor of 3003 is 3003.

3. What are the Factors of 3004?

Answer: Factors of 3004 are 1, 2, 4, 751, 1502, 3004. There are 6 integers that are factors of 3004. The greatest factor of 3004 is 3004.

4. How to Find the GCF of 3003 and 3004?

Answer:

Greatest Common Factor of 3003 and 3004 = 1

Step 1: Find the prime factorization of 3003

3003 = 3 x 7 x 11 x 13

Step 2: Find the prime factorization of 3004

3004 = 2 x 2 x 751

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 3003 and 3004 is 1