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 9287, 9289 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9287 and 9289 is 1.
GCF(9287,9289) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9287
37 | 9287 |
251 | 251 |
1 |
Prime factors of 9287 are 37,251. Prime factorization of 9287 in exponential form is:
9287 = 371×2511
Prime Factorization of 9289
7 | 9289 |
1327 | 1327 |
1 |
Prime factors of 9289 are 7,1327. Prime factorization of 9289 in exponential form is:
9289 = 71×13271
∴ So by taking common prime factors GCF of 9287 and 9289 is 1
Factors of 9287
List of positive integer factors of 9287 that divides 9287 without a remainder.
1,37,251,9287
Factors of 9289
List of positive integer factors of 9289 that divides 9289 without a remainder.
1,7,1327,9289
Greatest Common Factor
We found the factors and prime factorization of 9287 and 9289. The biggest common factor number is the GCF number.
So the greatest common factor 9287 and 9289 is 1.
Also check out the Least Common Multiple of 9287 and 9289
(i) The GCF of 9287 and 9289 is associative
GCF of 9287 and 9289 = GCF of 9289 and 9287
1. What is the GCF of 9287 and 9289?
Answer: GCF of 9287 and 9289 is 1.
2. What are the Factors of 9287?
Answer: Factors of 9287 are 1, 37, 251, 9287. There are 4 integers that are factors of 9287. The greatest factor of 9287 is 9287.
3. What are the Factors of 9289?
Answer: Factors of 9289 are 1, 7, 1327, 9289. There are 4 integers that are factors of 9289. The greatest factor of 9289 is 9289.
4. How to Find the GCF of 9287 and 9289?
Answer:
Greatest Common Factor of 9287 and 9289 = 1
Step 1: Find the prime factorization of 9287
9287 = 37 x 251
Step 2: Find the prime factorization of 9289
9289 = 7 x 1327
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 9287 and 9289 is 1