Greatest Common Factor of 15192 and 15198

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 15192, 15198 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15192 and 15198 is 6.

GCF(15192,15198) = 6

GCF of 15192 and 15198

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

GCF of:
and

Greatest Common Factor of 15192 and 15198

GCF of 15192 and 15198 is 6

Prime Factorization of 15192


2 15192
2 7596
2 3798
3 1899
3 633
211 211
1

Prime factors of 15192 are 2,3,211. Prime factorization of 15192 in exponential form is:

15192 = 23×32×2111

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

∴ So by taking common prime factors GCF of 15192 and 15198 is 6

Greatest Common Factor of 15192 and 15198 by matching factors method

Factors of 15192

List of positive integer factors of 15192 that divides 15192 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,211,422,633,844,1266,1688,1899,2532,3798,5064,7596,15192

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

Greatest Common Factor

We found the factors and prime factorization of 15192 and 15198. The biggest common factor number is the GCF number.
So the greatest common factor 15192 and 15198 is 6.

Also check out the Least Common Multiple of 15192 and 15198

Properties of GCF 15192 and 15198

(i) The GCF of 15192 and 15198 is associative

GCF of 15192 and 15198 = GCF of 15198 and 15192

Related Greatest Common Factor of 15192

Related Greatest Common Factor of 15198

Frequently Asked Questions on GCF of 15192 and 15198

1. What is the GCF of 15192 and 15198?

Answer: GCF of 15192 and 15198 is 6.

2. What are the Factors of 15192?

Answer: Factors of 15192 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3798, 5064, 7596, 15192. There are 24 integers that are factors of 15192. The greatest factor of 15192 is 15192.

3. 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.

4. How to Find the GCF of 15192 and 15198?

Answer:

Greatest Common Factor of 15192 and 15198 = 6

Step 1: Find the prime factorization of 15192

15192 = 2 x 2 x 2 x 3 x 3 x 211

Step 2: Find the prime factorization of 15198

15198 = 2 x 3 x 17 x 149

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 15192 and 15198 is 6