Greatest Common Factor of 2997 and 3003

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 2997, 3003 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2997 and 3003 is 3.

GCF(2997,3003) = 3

GCF of 2997 and 3003

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

GCF of:
and

Greatest Common Factor of 2997 and 3003

GCF of 2997 and 3003 is 3

Prime Factorization of 2997


3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 2997 are 3,37. Prime factorization of 2997 in exponential form is:

2997 = 34×371

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

∴ So by taking common prime factors GCF of 2997 and 3003 is 3

Greatest Common Factor of 2997 and 3003 by matching factors method

Factors of 2997

List of positive integer factors of 2997 that divides 2997 without a remainder.

1,3,9,27,37,81,111,333,999,2997

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

Greatest Common Factor

We found the factors and prime factorization of 2997 and 3003. The biggest common factor number is the GCF number.
So the greatest common factor 2997 and 3003 is 3.

Also check out the Least Common Multiple of 2997 and 3003

Properties of GCF 2997 and 3003

(i) The GCF of 2997 and 3003 is associative

GCF of 2997 and 3003 = GCF of 3003 and 2997

Related Greatest Common Factor of 2997

Related Greatest Common Factor of 3003

Frequently Asked Questions on GCF of 2997 and 3003

1. What is the GCF of 2997 and 3003?

Answer: GCF of 2997 and 3003 is 3.

2. What are the Factors of 2997?

Answer: Factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997. There are 10 integers that are factors of 2997. The greatest factor of 2997 is 2997.

3. 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.

4. How to Find the GCF of 2997 and 3003?

Answer:

Greatest Common Factor of 2997 and 3003 = 3

Step 1: Find the prime factorization of 2997

2997 = 3 x 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 3003

3003 = 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 2997 and 3003 is 3