Greatest Common Factor of 15198 and 15204

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 15198, 15204 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15198 and 15204 is 6.

GCF(15198,15204) = 6

GCF of 15198 and 15204

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

GCF of:
and

Greatest Common Factor of 15198 and 15204

GCF of 15198 and 15204 is 6

Prime Factorization of 15198


2 15198
3 7599
17 2533
149 149
1

Prime factors of 15198 are 2,3,17,149. Prime factorization of 15198 in exponential form is:

15198 = 21×31×171×1491

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

∴ So by taking common prime factors GCF of 15198 and 15204 is 6

Greatest Common Factor of 15198 and 15204 by matching factors method

Factors of 15198

List of positive integer factors of 15198 that divides 15198 without a remainder.

1,2,3,6,17,34,51,102,149,298,447,894,2533,5066,7599,15198

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

Greatest Common Factor

We found the factors and prime factorization of 15198 and 15204. The biggest common factor number is the GCF number.
So the greatest common factor 15198 and 15204 is 6.

Also check out the Least Common Multiple of 15198 and 15204

Properties of GCF 15198 and 15204

(i) The GCF of 15198 and 15204 is associative

GCF of 15198 and 15204 = GCF of 15204 and 15198

Related Greatest Common Factor of 15198

Related Greatest Common Factor of 15204

Frequently Asked Questions on GCF of 15198 and 15204

1. What is the GCF of 15198 and 15204?

Answer: GCF of 15198 and 15204 is 6.

2. What are the Factors of 15198?

Answer: Factors of 15198 are 1, 2, 3, 6, 17, 34, 51, 102, 149, 298, 447, 894, 2533, 5066, 7599, 15198. There are 16 integers that are factors of 15198. The greatest factor of 15198 is 15198.

3. 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.

4. How to Find the GCF of 15198 and 15204?

Answer:

Greatest Common Factor of 15198 and 15204 = 6

Step 1: Find the prime factorization of 15198

15198 = 2 x 3 x 17 x 149

Step 2: Find the prime factorization of 15204

15204 = 2 x 2 x 3 x 7 x 181

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 15198 and 15204 is 6