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 9316, 9322 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9316 and 9322 is 2.
GCF(9316,9322) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9322
2 | 9322 |
59 | 4661 |
79 | 79 |
1 |
Prime factors of 9322 are 2,59,79. Prime factorization of 9322 in exponential form is:
9322 = 21×591×791
∴ So by taking common prime factors GCF of 9316 and 9322 is 2
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
Factors of 9322
List of positive integer factors of 9322 that divides 9322 without a remainder.
1,2,59,79,118,158,4661,9322
Greatest Common Factor
We found the factors and prime factorization of 9316 and 9322. The biggest common factor number is the GCF number.
So the greatest common factor 9316 and 9322 is 2.
Also check out the Least Common Multiple of 9316 and 9322
(i) The GCF of 9316 and 9322 is associative
GCF of 9316 and 9322 = GCF of 9322 and 9316
1. What is the GCF of 9316 and 9322?
Answer: GCF of 9316 and 9322 is 2.
2. 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.
3. What are the Factors of 9322?
Answer: Factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322. There are 8 integers that are factors of 9322. The greatest factor of 9322 is 9322.
4. How to Find the GCF of 9316 and 9322?
Answer:
Greatest Common Factor of 9316 and 9322 = 2
Step 1: Find the prime factorization of 9316
9316 = 2 x 2 x 17 x 137
Step 2: Find the prime factorization of 9322
9322 = 2 x 59 x 79
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 9316 and 9322 is 2