Greatest Common Factor of 13323 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 13323, 13329 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13323 and 13329 is 3.

GCF(13323,13329) = 3

GCF of 13323 and 13329

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

GCF of:
and

Greatest Common Factor of 13323 and 13329

GCF of 13323 and 13329 is 3

Prime Factorization of 13323


3 13323
4441 4441
1

Prime factors of 13323 are 3,4441. Prime factorization of 13323 in exponential form is:

13323 = 31×44411

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 13323 and 13329 is 3

Greatest Common Factor of 13323 and 13329 by matching factors method

Factors of 13323

List of positive integer factors of 13323 that divides 13323 without a remainder.

1,3,4441,13323

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 13323 and 13329. The biggest common factor number is the GCF number.
So the greatest common factor 13323 and 13329 is 3.

Also check out the Least Common Multiple of 13323 and 13329

Properties of GCF 13323 and 13329

(i) The GCF of 13323 and 13329 is associative

GCF of 13323 and 13329 = GCF of 13329 and 13323

Related Greatest Common Factor of 13323

Related Greatest Common Factor of 13329

Frequently Asked Questions on GCF of 13323 and 13329

1. What is the GCF of 13323 and 13329?

Answer: GCF of 13323 and 13329 is 3.

2. What are the Factors of 13323?

Answer: Factors of 13323 are 1, 3, 4441, 13323. There are 4 integers that are factors of 13323. The greatest factor of 13323 is 13323.

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 13323 and 13329?

Answer:

Greatest Common Factor of 13323 and 13329 = 3

Step 1: Find the prime factorization of 13323

13323 = 3 x 4441

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 = 3

Step 4: Therefore, the greatest common factor of 13323 and 13329 is 3