Greatest Common Factor of 13209 and 13215

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 13209, 13215 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13209 and 13215 is 3.

GCF(13209,13215) = 3

GCF of 13209 and 13215

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

GCF of:
and

Greatest Common Factor of 13209 and 13215

GCF of 13209 and 13215 is 3

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

Prime Factorization of 13215


3 13215
5 4405
881 881
1

Prime factors of 13215 are 3,5,881. Prime factorization of 13215 in exponential form is:

13215 = 31×51×8811

∴ So by taking common prime factors GCF of 13209 and 13215 is 3

Greatest Common Factor of 13209 and 13215 by matching factors method

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

Factors of 13215

List of positive integer factors of 13215 that divides 13215 without a remainder.

1,3,5,15,881,2643,4405,13215

Greatest Common Factor

We found the factors and prime factorization of 13209 and 13215. The biggest common factor number is the GCF number.
So the greatest common factor 13209 and 13215 is 3.

Also check out the Least Common Multiple of 13209 and 13215

Properties of GCF 13209 and 13215

(i) The GCF of 13209 and 13215 is associative

GCF of 13209 and 13215 = GCF of 13215 and 13209

Related Greatest Common Factor of 13209

Related Greatest Common Factor of 13215

Frequently Asked Questions on GCF of 13209 and 13215

1. What is the GCF of 13209 and 13215?

Answer: GCF of 13209 and 13215 is 3.

2. 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.

3. What are the Factors of 13215?

Answer: Factors of 13215 are 1, 3, 5, 15, 881, 2643, 4405, 13215. There are 8 integers that are factors of 13215. The greatest factor of 13215 is 13215.

4. How to Find the GCF of 13209 and 13215?

Answer:

Greatest Common Factor of 13209 and 13215 = 3

Step 1: Find the prime factorization of 13209

13209 = 3 x 7 x 17 x 37

Step 2: Find the prime factorization of 13215

13215 = 3 x 5 x 881

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 13209 and 13215 is 3