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 9303, 9307 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9303 and 9307 is 1.
GCF(9303,9307) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9303
3 | 9303 |
7 | 3101 |
443 | 443 |
1 |
Prime factors of 9303 are 3,7,443. Prime factorization of 9303 in exponential form is:
9303 = 31×71×4431
Prime Factorization of 9307
41 | 9307 |
227 | 227 |
1 |
Prime factors of 9307 are 41,227. Prime factorization of 9307 in exponential form is:
9307 = 411×2271
∴ So by taking common prime factors GCF of 9303 and 9307 is 1
Factors of 9303
List of positive integer factors of 9303 that divides 9303 without a remainder.
1,3,7,21,443,1329,3101,9303
Factors of 9307
List of positive integer factors of 9307 that divides 9307 without a remainder.
1,41,227,9307
Greatest Common Factor
We found the factors and prime factorization of 9303 and 9307. The biggest common factor number is the GCF number.
So the greatest common factor 9303 and 9307 is 1.
Also check out the Least Common Multiple of 9303 and 9307
(i) The GCF of 9303 and 9307 is associative
GCF of 9303 and 9307 = GCF of 9307 and 9303
1. What is the GCF of 9303 and 9307?
Answer: GCF of 9303 and 9307 is 1.
2. What are the Factors of 9303?
Answer: Factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303. There are 8 integers that are factors of 9303. The greatest factor of 9303 is 9303.
3. What are the Factors of 9307?
Answer: Factors of 9307 are 1, 41, 227, 9307. There are 4 integers that are factors of 9307. The greatest factor of 9307 is 9307.
4. How to Find the GCF of 9303 and 9307?
Answer:
Greatest Common Factor of 9303 and 9307 = 1
Step 1: Find the prime factorization of 9303
9303 = 3 x 7 x 443
Step 2: Find the prime factorization of 9307
9307 = 41 x 227
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 9303 and 9307 is 1