Greatest Common Factor of 13311 and 13316

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 13311, 13316 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13311 and 13316 is 1.

GCF(13311,13316) = 1

GCF of 13311 and 13316

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

GCF of:
and

Greatest Common Factor of 13311 and 13316

GCF of 13311 and 13316 is 1

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

Prime Factorization of 13316


2 13316
2 6658
3329 3329
1

Prime factors of 13316 are 2,3329. Prime factorization of 13316 in exponential form is:

13316 = 22×33291

∴ So by taking common prime factors GCF of 13311 and 13316 is 1

Greatest Common Factor of 13311 and 13316 by matching factors method

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

Factors of 13316

List of positive integer factors of 13316 that divides 13316 without a remainder.

1,2,4,3329,6658,13316

Greatest Common Factor

We found the factors and prime factorization of 13311 and 13316. The biggest common factor number is the GCF number.
So the greatest common factor 13311 and 13316 is 1.

Also check out the Least Common Multiple of 13311 and 13316

Properties of GCF 13311 and 13316

(i) The GCF of 13311 and 13316 is associative

GCF of 13311 and 13316 = GCF of 13316 and 13311

Related Greatest Common Factor of 13311

Related Greatest Common Factor of 13316

Frequently Asked Questions on GCF of 13311 and 13316

1. What is the GCF of 13311 and 13316?

Answer: GCF of 13311 and 13316 is 1.

2. 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.

3. What are the Factors of 13316?

Answer: Factors of 13316 are 1, 2, 4, 3329, 6658, 13316. There are 6 integers that are factors of 13316. The greatest factor of 13316 is 13316.

4. How to Find the GCF of 13311 and 13316?

Answer:

Greatest Common Factor of 13311 and 13316 = 1

Step 1: Find the prime factorization of 13311

13311 = 3 x 3 x 3 x 17 x 29

Step 2: Find the prime factorization of 13316

13316 = 2 x 2 x 3329

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 13311 and 13316 is 1