Greatest Common Factor of 13329 and 13332

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, 13332 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13329 and 13332 is 3.

GCF(13329,13332) = 3

GCF of 13329 and 13332

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

GCF of:
and

Greatest Common Factor of 13329 and 13332

GCF of 13329 and 13332 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 13332


2 13332
2 6666
3 3333
11 1111
101 101
1

Prime factors of 13332 are 2,3,11,101. Prime factorization of 13332 in exponential form is:

13332 = 22×31×111×1011

∴ So by taking common prime factors GCF of 13329 and 13332 is 3

Greatest Common Factor of 13329 and 13332 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 13332

List of positive integer factors of 13332 that divides 13332 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,101,132,202,303,404,606,1111,1212,2222,3333,4444,6666,13332

Greatest Common Factor

We found the factors and prime factorization of 13329 and 13332. The biggest common factor number is the GCF number.
So the greatest common factor 13329 and 13332 is 3.

Also check out the Least Common Multiple of 13329 and 13332

Properties of GCF 13329 and 13332

(i) The GCF of 13329 and 13332 is associative

GCF of 13329 and 13332 = GCF of 13332 and 13329

Related Greatest Common Factor of 13329

Related Greatest Common Factor of 13332

Frequently Asked Questions on GCF of 13329 and 13332

1. What is the GCF of 13329 and 13332?

Answer: GCF of 13329 and 13332 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 13332?

Answer: Factors of 13332 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 101, 132, 202, 303, 404, 606, 1111, 1212, 2222, 3333, 4444, 6666, 13332. There are 24 integers that are factors of 13332. The greatest factor of 13332 is 13332.

4. How to Find the GCF of 13329 and 13332?

Answer:

Greatest Common Factor of 13329 and 13332 = 3

Step 1: Find the prime factorization of 13329

13329 = 3 x 3 x 1481

Step 2: Find the prime factorization of 13332

13332 = 2 x 2 x 3 x 11 x 101

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 13332 is 3