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 9317, 9325 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9317 and 9325 is 1.
GCF(9317,9325) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9317
7 | 9317 |
11 | 1331 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 9317 are 7,11. Prime factorization of 9317 in exponential form is:
9317 = 71×113
Prime Factorization of 9325
5 | 9325 |
5 | 1865 |
373 | 373 |
1 |
Prime factors of 9325 are 5,373. Prime factorization of 9325 in exponential form is:
9325 = 52×3731
∴ So by taking common prime factors GCF of 9317 and 9325 is 1
Factors of 9317
List of positive integer factors of 9317 that divides 9317 without a remainder.
1,7,11,77,121,847,1331,9317
Factors of 9325
List of positive integer factors of 9325 that divides 9325 without a remainder.
1,5,25,373,1865,9325
Greatest Common Factor
We found the factors and prime factorization of 9317 and 9325. The biggest common factor number is the GCF number.
So the greatest common factor 9317 and 9325 is 1.
Also check out the Least Common Multiple of 9317 and 9325
(i) The GCF of 9317 and 9325 is associative
GCF of 9317 and 9325 = GCF of 9325 and 9317
1. What is the GCF of 9317 and 9325?
Answer: GCF of 9317 and 9325 is 1.
2. What are the Factors of 9317?
Answer: Factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317. There are 8 integers that are factors of 9317. The greatest factor of 9317 is 9317.
3. What are the Factors of 9325?
Answer: Factors of 9325 are 1, 5, 25, 373, 1865, 9325. There are 6 integers that are factors of 9325. The greatest factor of 9325 is 9325.
4. How to Find the GCF of 9317 and 9325?
Answer:
Greatest Common Factor of 9317 and 9325 = 1
Step 1: Find the prime factorization of 9317
9317 = 7 x 11 x 11 x 11
Step 2: Find the prime factorization of 9325
9325 = 5 x 5 x 373
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 9317 and 9325 is 1