Greatest Common Factor of 13203 and 13209

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 13203, 13209 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13203 and 13209 is 3.

GCF(13203,13209) = 3

GCF of 13203 and 13209

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

GCF of:
and

Greatest Common Factor of 13203 and 13209

GCF of 13203 and 13209 is 3

Prime Factorization of 13203


3 13203
3 4401
3 1467
3 489
163 163
1

Prime factors of 13203 are 3,163. Prime factorization of 13203 in exponential form is:

13203 = 34×1631

Prime Factorization of 13209


3 13209
7 4403
17 629
37 37
1

Prime factors of 13209 are 3,7,17,37. Prime factorization of 13209 in exponential form is:

13209 = 31×71×171×371

∴ So by taking common prime factors GCF of 13203 and 13209 is 3

Greatest Common Factor of 13203 and 13209 by matching factors method

Factors of 13203

List of positive integer factors of 13203 that divides 13203 without a remainder.

1,3,9,27,81,163,489,1467,4401,13203

Factors of 13209

List of positive integer factors of 13209 that divides 13209 without a remainder.

1,3,7,17,21,37,51,111,119,259,357,629,777,1887,4403,13209

Greatest Common Factor

We found the factors and prime factorization of 13203 and 13209. The biggest common factor number is the GCF number.
So the greatest common factor 13203 and 13209 is 3.

Also check out the Least Common Multiple of 13203 and 13209

Properties of GCF 13203 and 13209

(i) The GCF of 13203 and 13209 is associative

GCF of 13203 and 13209 = GCF of 13209 and 13203

Related Greatest Common Factor of 13203

Related Greatest Common Factor of 13209

Frequently Asked Questions on GCF of 13203 and 13209

1. What is the GCF of 13203 and 13209?

Answer: GCF of 13203 and 13209 is 3.

2. What are the Factors of 13203?

Answer: Factors of 13203 are 1, 3, 9, 27, 81, 163, 489, 1467, 4401, 13203. There are 10 integers that are factors of 13203. The greatest factor of 13203 is 13203.

3. What are the Factors of 13209?

Answer: Factors of 13209 are 1, 3, 7, 17, 21, 37, 51, 111, 119, 259, 357, 629, 777, 1887, 4403, 13209. There are 16 integers that are factors of 13209. The greatest factor of 13209 is 13209.

4. How to Find the GCF of 13203 and 13209?

Answer:

Greatest Common Factor of 13203 and 13209 = 3

Step 1: Find the prime factorization of 13203

13203 = 3 x 3 x 3 x 3 x 163

Step 2: Find the prime factorization of 13209

13209 = 3 x 7 x 17 x 37

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 13203 and 13209 is 3