Greatest Common Factor of 13321 and 13329

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 13321, 13329 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13321 and 13329 is 1.

GCF(13321,13329) = 1

GCF of 13321 and 13329

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

GCF of:
and

Greatest Common Factor of 13321 and 13329

GCF of 13321 and 13329 is 1

Prime Factorization of 13321


7 13321
11 1903
173 173
1

Prime factors of 13321 are 7,11,173. Prime factorization of 13321 in exponential form is:

13321 = 71×111×1731

Prime Factorization of 13329


3 13329
3 4443
1481 1481
1

Prime factors of 13329 are 3,1481. Prime factorization of 13329 in exponential form is:

13329 = 32×14811

∴ So by taking common prime factors GCF of 13321 and 13329 is 1

Greatest Common Factor of 13321 and 13329 by matching factors method

Factors of 13321

List of positive integer factors of 13321 that divides 13321 without a remainder.

1,7,11,77,173,1211,1903,13321

Factors of 13329

List of positive integer factors of 13329 that divides 13329 without a remainder.

1,3,9,1481,4443,13329

Greatest Common Factor

We found the factors and prime factorization of 13321 and 13329. The biggest common factor number is the GCF number.
So the greatest common factor 13321 and 13329 is 1.

Also check out the Least Common Multiple of 13321 and 13329

Properties of GCF 13321 and 13329

(i) The GCF of 13321 and 13329 is associative

GCF of 13321 and 13329 = GCF of 13329 and 13321

Related Greatest Common Factor of 13321

Related Greatest Common Factor of 13329

Frequently Asked Questions on GCF of 13321 and 13329

1. What is the GCF of 13321 and 13329?

Answer: GCF of 13321 and 13329 is 1.

2. What are the Factors of 13321?

Answer: Factors of 13321 are 1, 7, 11, 77, 173, 1211, 1903, 13321. There are 8 integers that are factors of 13321. The greatest factor of 13321 is 13321.

3. What are the Factors of 13329?

Answer: Factors of 13329 are 1, 3, 9, 1481, 4443, 13329. There are 6 integers that are factors of 13329. The greatest factor of 13329 is 13329.

4. How to Find the GCF of 13321 and 13329?

Answer:

Greatest Common Factor of 13321 and 13329 = 1

Step 1: Find the prime factorization of 13321

13321 = 7 x 11 x 173

Step 2: Find the prime factorization of 13329

13329 = 3 x 3 x 1481

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 13321 and 13329 is 1