Greatest Common Factor of 13329 and 13335

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 13329, 13335 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13329 and 13335 is 3.

GCF(13329,13335) = 3

GCF of 13329 and 13335

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

GCF of:
and

Greatest Common Factor of 13329 and 13335

GCF of 13329 and 13335 is 3

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

Prime Factorization of 13335


3 13335
5 4445
7 889
127 127
1

Prime factors of 13335 are 3,5,7,127. Prime factorization of 13335 in exponential form is:

13335 = 31×51×71×1271

∴ So by taking common prime factors GCF of 13329 and 13335 is 3

Greatest Common Factor of 13329 and 13335 by matching factors method

Factors of 13329

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

1,3,9,1481,4443,13329

Factors of 13335

List of positive integer factors of 13335 that divides 13335 without a remainder.

1,3,5,7,15,21,35,105,127,381,635,889,1905,2667,4445,13335

Greatest Common Factor

We found the factors and prime factorization of 13329 and 13335. The biggest common factor number is the GCF number.
So the greatest common factor 13329 and 13335 is 3.

Also check out the Least Common Multiple of 13329 and 13335

Properties of GCF 13329 and 13335

(i) The GCF of 13329 and 13335 is associative

GCF of 13329 and 13335 = GCF of 13335 and 13329

Related Greatest Common Factor of 13329

Related Greatest Common Factor of 13335

Frequently Asked Questions on GCF of 13329 and 13335

1. What is the GCF of 13329 and 13335?

Answer: GCF of 13329 and 13335 is 3.

2. 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.

3. What are the Factors of 13335?

Answer: Factors of 13335 are 1, 3, 5, 7, 15, 21, 35, 105, 127, 381, 635, 889, 1905, 2667, 4445, 13335. There are 16 integers that are factors of 13335. The greatest factor of 13335 is 13335.

4. How to Find the GCF of 13329 and 13335?

Answer:

Greatest Common Factor of 13329 and 13335 = 3

Step 1: Find the prime factorization of 13329

13329 = 3 x 3 x 1481

Step 2: Find the prime factorization of 13335

13335 = 3 x 5 x 7 x 127

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 13329 and 13335 is 3