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 9366, 9367 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9366 and 9367 is 1.
GCF(9366,9367) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9366
2 | 9366 |
3 | 4683 |
7 | 1561 |
223 | 223 |
1 |
Prime factors of 9366 are 2,3,7,223. Prime factorization of 9366 in exponential form is:
9366 = 21×31×71×2231
Prime Factorization of 9367
17 | 9367 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 9367 are 17,19,29. Prime factorization of 9367 in exponential form is:
9367 = 171×191×291
∴ So by taking common prime factors GCF of 9366 and 9367 is 1
Factors of 9366
List of positive integer factors of 9366 that divides 9366 without a remainder.
1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366
Factors of 9367
List of positive integer factors of 9367 that divides 9367 without a remainder.
1,17,19,29,323,493,551,9367
Greatest Common Factor
We found the factors and prime factorization of 9366 and 9367. The biggest common factor number is the GCF number.
So the greatest common factor 9366 and 9367 is 1.
Also check out the Least Common Multiple of 9366 and 9367
(i) The GCF of 9366 and 9367 is associative
GCF of 9366 and 9367 = GCF of 9367 and 9366
1. What is the GCF of 9366 and 9367?
Answer: GCF of 9366 and 9367 is 1.
2. What are the Factors of 9366?
Answer: Factors of 9366 are 1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366. There are 16 integers that are factors of 9366. The greatest factor of 9366 is 9366.
3. What are the Factors of 9367?
Answer: Factors of 9367 are 1, 17, 19, 29, 323, 493, 551, 9367. There are 8 integers that are factors of 9367. The greatest factor of 9367 is 9367.
4. How to Find the GCF of 9366 and 9367?
Answer:
Greatest Common Factor of 9366 and 9367 = 1
Step 1: Find the prime factorization of 9366
9366 = 2 x 3 x 7 x 223
Step 2: Find the prime factorization of 9367
9367 = 17 x 19 x 29
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 9366 and 9367 is 1