Greatest Common Factor of 13303 and 13311

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 13303, 13311 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13303 and 13311 is 1.

GCF(13303,13311) = 1

GCF of 13303 and 13311

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

GCF of:
and

Greatest Common Factor of 13303 and 13311

GCF of 13303 and 13311 is 1

Prime Factorization of 13303


53 13303
251 251
1

Prime factors of 13303 are 53,251. Prime factorization of 13303 in exponential form is:

13303 = 531×2511

Prime Factorization of 13311


3 13311
3 4437
3 1479
17 493
29 29
1

Prime factors of 13311 are 3,17,29. Prime factorization of 13311 in exponential form is:

13311 = 33×171×291

∴ So by taking common prime factors GCF of 13303 and 13311 is 1

Greatest Common Factor of 13303 and 13311 by matching factors method

Factors of 13303

List of positive integer factors of 13303 that divides 13303 without a remainder.

1,53,251,13303

Factors of 13311

List of positive integer factors of 13311 that divides 13311 without a remainder.

1,3,9,17,27,29,51,87,153,261,459,493,783,1479,4437,13311

Greatest Common Factor

We found the factors and prime factorization of 13303 and 13311. The biggest common factor number is the GCF number.
So the greatest common factor 13303 and 13311 is 1.

Also check out the Least Common Multiple of 13303 and 13311

Properties of GCF 13303 and 13311

(i) The GCF of 13303 and 13311 is associative

GCF of 13303 and 13311 = GCF of 13311 and 13303

Related Greatest Common Factor of 13303

Related Greatest Common Factor of 13311

Frequently Asked Questions on GCF of 13303 and 13311

1. What is the GCF of 13303 and 13311?

Answer: GCF of 13303 and 13311 is 1.

2. What are the Factors of 13303?

Answer: Factors of 13303 are 1, 53, 251, 13303. There are 4 integers that are factors of 13303. The greatest factor of 13303 is 13303.

3. What are the Factors of 13311?

Answer: Factors of 13311 are 1, 3, 9, 17, 27, 29, 51, 87, 153, 261, 459, 493, 783, 1479, 4437, 13311. There are 16 integers that are factors of 13311. The greatest factor of 13311 is 13311.

4. How to Find the GCF of 13303 and 13311?

Answer:

Greatest Common Factor of 13303 and 13311 = 1

Step 1: Find the prime factorization of 13303

13303 = 53 x 251

Step 2: Find the prime factorization of 13311

13311 = 3 x 3 x 3 x 17 x 29

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 13303 and 13311 is 1