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 9308, 9313 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9308 and 9313 is 1.
GCF(9308,9313) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9308
2 | 9308 |
2 | 4654 |
13 | 2327 |
179 | 179 |
1 |
Prime factors of 9308 are 2,13,179. Prime factorization of 9308 in exponential form is:
9308 = 22×131×1791
Prime Factorization of 9313
67 | 9313 |
139 | 139 |
1 |
Prime factors of 9313 are 67,139. Prime factorization of 9313 in exponential form is:
9313 = 671×1391
∴ So by taking common prime factors GCF of 9308 and 9313 is 1
Factors of 9308
List of positive integer factors of 9308 that divides 9308 without a remainder.
1,2,4,13,26,52,179,358,716,2327,4654,9308
Factors of 9313
List of positive integer factors of 9313 that divides 9313 without a remainder.
1,67,139,9313
Greatest Common Factor
We found the factors and prime factorization of 9308 and 9313. The biggest common factor number is the GCF number.
So the greatest common factor 9308 and 9313 is 1.
Also check out the Least Common Multiple of 9308 and 9313
(i) The GCF of 9308 and 9313 is associative
GCF of 9308 and 9313 = GCF of 9313 and 9308
1. What is the GCF of 9308 and 9313?
Answer: GCF of 9308 and 9313 is 1.
2. What are the Factors of 9308?
Answer: Factors of 9308 are 1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308. There are 12 integers that are factors of 9308. The greatest factor of 9308 is 9308.
3. What are the Factors of 9313?
Answer: Factors of 9313 are 1, 67, 139, 9313. There are 4 integers that are factors of 9313. The greatest factor of 9313 is 9313.
4. How to Find the GCF of 9308 and 9313?
Answer:
Greatest Common Factor of 9308 and 9313 = 1
Step 1: Find the prime factorization of 9308
9308 = 2 x 2 x 13 x 179
Step 2: Find the prime factorization of 9313
9313 = 67 x 139
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 9308 and 9313 is 1