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 15196, 15198 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15196 and 15198 is 2.
GCF(15196,15198) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15196
2 | 15196 |
2 | 7598 |
29 | 3799 |
131 | 131 |
1 |
Prime factors of 15196 are 2,29,131. Prime factorization of 15196 in exponential form is:
15196 = 22×291×1311
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 15196 and 15198 is 2
Factors of 15196
List of positive integer factors of 15196 that divides 15196 without a remainder.
1,2,4,29,58,116,131,262,524,3799,7598,15196
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 15196 and 15198. The biggest common factor number is the GCF number.
So the greatest common factor 15196 and 15198 is 2.
Also check out the Least Common Multiple of 15196 and 15198
(i) The GCF of 15196 and 15198 is associative
GCF of 15196 and 15198 = GCF of 15198 and 15196
1. What is the GCF of 15196 and 15198?
Answer: GCF of 15196 and 15198 is 2.
2. What are the Factors of 15196?
Answer: Factors of 15196 are 1, 2, 4, 29, 58, 116, 131, 262, 524, 3799, 7598, 15196. There are 12 integers that are factors of 15196. The greatest factor of 15196 is 15196.
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 15196 and 15198?
Answer:
Greatest Common Factor of 15196 and 15198 = 2
Step 1: Find the prime factorization of 15196
15196 = 2 x 2 x 29 x 131
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
Step 4: Therefore, the greatest common factor of 15196 and 15198 is 2