Greatest Common Factor of 15204 and 15209

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 15204, 15209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15204 and 15209 is 1.

GCF(15204,15209) = 1

GCF of 15204 and 15209

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

GCF of:
and

Greatest Common Factor of 15204 and 15209

GCF of 15204 and 15209 is 1

Prime Factorization of 15204


2 15204
2 7602
3 3801
7 1267
181 181
1

Prime factors of 15204 are 2,3,7,181. Prime factorization of 15204 in exponential form is:

15204 = 22×31×71×1811

Prime Factorization of 15209


67 15209
227 227
1

Prime factors of 15209 are 67,227. Prime factorization of 15209 in exponential form is:

15209 = 671×2271

∴ So by taking common prime factors GCF of 15204 and 15209 is 1

Greatest Common Factor of 15204 and 15209 by matching factors method

Factors of 15204

List of positive integer factors of 15204 that divides 15204 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,181,362,543,724,1086,1267,2172,2534,3801,5068,7602,15204

Factors of 15209

List of positive integer factors of 15209 that divides 15209 without a remainder.

1,67,227,15209

Greatest Common Factor

We found the factors and prime factorization of 15204 and 15209. The biggest common factor number is the GCF number.
So the greatest common factor 15204 and 15209 is 1.

Also check out the Least Common Multiple of 15204 and 15209

Properties of GCF 15204 and 15209

(i) The GCF of 15204 and 15209 is associative

GCF of 15204 and 15209 = GCF of 15209 and 15204

Related Greatest Common Factor of 15204

Related Greatest Common Factor of 15209

Frequently Asked Questions on GCF of 15204 and 15209

1. What is the GCF of 15204 and 15209?

Answer: GCF of 15204 and 15209 is 1.

2. What are the Factors of 15204?

Answer: Factors of 15204 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 181, 362, 543, 724, 1086, 1267, 2172, 2534, 3801, 5068, 7602, 15204. There are 24 integers that are factors of 15204. The greatest factor of 15204 is 15204.

3. What are the Factors of 15209?

Answer: Factors of 15209 are 1, 67, 227, 15209. There are 4 integers that are factors of 15209. The greatest factor of 15209 is 15209.

4. How to Find the GCF of 15204 and 15209?

Answer:

Greatest Common Factor of 15204 and 15209 = 1

Step 1: Find the prime factorization of 15204

15204 = 2 x 2 x 3 x 7 x 181

Step 2: Find the prime factorization of 15209

15209 = 67 x 227

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 15204 and 15209 is 1