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 9188, 9192 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9188 and 9192 is 4.
GCF(9188,9192) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9188
2 | 9188 |
2 | 4594 |
2297 | 2297 |
1 |
Prime factors of 9188 are 2,2297. Prime factorization of 9188 in exponential form is:
9188 = 22×22971
Prime Factorization of 9192
2 | 9192 |
2 | 4596 |
2 | 2298 |
3 | 1149 |
383 | 383 |
1 |
Prime factors of 9192 are 2,3,383. Prime factorization of 9192 in exponential form is:
9192 = 23×31×3831
∴ So by taking common prime factors GCF of 9188 and 9192 is 4
Factors of 9188
List of positive integer factors of 9188 that divides 9188 without a remainder.
1,2,4,2297,4594,9188
Factors of 9192
List of positive integer factors of 9192 that divides 9192 without a remainder.
1,2,3,4,6,8,12,24,383,766,1149,1532,2298,3064,4596,9192
Greatest Common Factor
We found the factors and prime factorization of 9188 and 9192. The biggest common factor number is the GCF number.
So the greatest common factor 9188 and 9192 is 4.
Also check out the Least Common Multiple of 9188 and 9192
(i) The GCF of 9188 and 9192 is associative
GCF of 9188 and 9192 = GCF of 9192 and 9188
1. What is the GCF of 9188 and 9192?
Answer: GCF of 9188 and 9192 is 4.
2. What are the Factors of 9188?
Answer: Factors of 9188 are 1, 2, 4, 2297, 4594, 9188. There are 6 integers that are factors of 9188. The greatest factor of 9188 is 9188.
3. What are the Factors of 9192?
Answer: Factors of 9192 are 1, 2, 3, 4, 6, 8, 12, 24, 383, 766, 1149, 1532, 2298, 3064, 4596, 9192. There are 16 integers that are factors of 9192. The greatest factor of 9192 is 9192.
4. How to Find the GCF of 9188 and 9192?
Answer:
Greatest Common Factor of 9188 and 9192 = 4
Step 1: Find the prime factorization of 9188
9188 = 2 x 2 x 2297
Step 2: Find the prime factorization of 9192
9192 = 2 x 2 x 2 x 3 x 383
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 9188 and 9192 is 4