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 9314, 9315 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9314 and 9315 is 1.
GCF(9314,9315) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9314
2 | 9314 |
4657 | 4657 |
1 |
Prime factors of 9314 are 2,4657. Prime factorization of 9314 in exponential form is:
9314 = 21×46571
Prime Factorization of 9315
3 | 9315 |
3 | 3105 |
3 | 1035 |
3 | 345 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 9315 are 3,5,23. Prime factorization of 9315 in exponential form is:
9315 = 34×51×231
∴ So by taking common prime factors GCF of 9314 and 9315 is 1
Factors of 9314
List of positive integer factors of 9314 that divides 9314 without a remainder.
1,2,4657,9314
Factors of 9315
List of positive integer factors of 9315 that divides 9315 without a remainder.
1,3,5,9,15,23,27,45,69,81,115,135,207,345,405,621,1035,1863,3105,9315
Greatest Common Factor
We found the factors and prime factorization of 9314 and 9315. The biggest common factor number is the GCF number.
So the greatest common factor 9314 and 9315 is 1.
Also check out the Least Common Multiple of 9314 and 9315
(i) The GCF of 9314 and 9315 is associative
GCF of 9314 and 9315 = GCF of 9315 and 9314
1. What is the GCF of 9314 and 9315?
Answer: GCF of 9314 and 9315 is 1.
2. What are the Factors of 9314?
Answer: Factors of 9314 are 1, 2, 4657, 9314. There are 4 integers that are factors of 9314. The greatest factor of 9314 is 9314.
3. What are the Factors of 9315?
Answer: Factors of 9315 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315. There are 20 integers that are factors of 9315. The greatest factor of 9315 is 9315.
4. How to Find the GCF of 9314 and 9315?
Answer:
Greatest Common Factor of 9314 and 9315 = 1
Step 1: Find the prime factorization of 9314
9314 = 2 x 4657
Step 2: Find the prime factorization of 9315
9315 = 3 x 3 x 3 x 3 x 5 x 23
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 9314 and 9315 is 1