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, 9316 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9314 and 9316 is 2.
GCF(9314,9316) = 2
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 9316
2 | 9316 |
2 | 4658 |
17 | 2329 |
137 | 137 |
1 |
Prime factors of 9316 are 2,17,137. Prime factorization of 9316 in exponential form is:
9316 = 22×171×1371
∴ So by taking common prime factors GCF of 9314 and 9316 is 2
Factors of 9314
List of positive integer factors of 9314 that divides 9314 without a remainder.
1,2,4657,9314
Factors of 9316
List of positive integer factors of 9316 that divides 9316 without a remainder.
1,2,4,17,34,68,137,274,548,2329,4658,9316
Greatest Common Factor
We found the factors and prime factorization of 9314 and 9316. The biggest common factor number is the GCF number.
So the greatest common factor 9314 and 9316 is 2.
Also check out the Least Common Multiple of 9314 and 9316
(i) The GCF of 9314 and 9316 is associative
GCF of 9314 and 9316 = GCF of 9316 and 9314
1. What is the GCF of 9314 and 9316?
Answer: GCF of 9314 and 9316 is 2.
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 9316?
Answer: Factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316. There are 12 integers that are factors of 9316. The greatest factor of 9316 is 9316.
4. How to Find the GCF of 9314 and 9316?
Answer:
Greatest Common Factor of 9314 and 9316 = 2
Step 1: Find the prime factorization of 9314
9314 = 2 x 4657
Step 2: Find the prime factorization of 9316
9316 = 2 x 2 x 17 x 137
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9314 and 9316 is 2