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 9361, 9364 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9361 and 9364 is 1.
GCF(9361,9364) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9361
11 | 9361 |
23 | 851 |
37 | 37 |
1 |
Prime factors of 9361 are 11,23,37. Prime factorization of 9361 in exponential form is:
9361 = 111×231×371
Prime Factorization of 9364
2 | 9364 |
2 | 4682 |
2341 | 2341 |
1 |
Prime factors of 9364 are 2,2341. Prime factorization of 9364 in exponential form is:
9364 = 22×23411
∴ So by taking common prime factors GCF of 9361 and 9364 is 1
Factors of 9361
List of positive integer factors of 9361 that divides 9361 without a remainder.
1,11,23,37,253,407,851,9361
Factors of 9364
List of positive integer factors of 9364 that divides 9364 without a remainder.
1,2,4,2341,4682,9364
Greatest Common Factor
We found the factors and prime factorization of 9361 and 9364. The biggest common factor number is the GCF number.
So the greatest common factor 9361 and 9364 is 1.
Also check out the Least Common Multiple of 9361 and 9364
(i) The GCF of 9361 and 9364 is associative
GCF of 9361 and 9364 = GCF of 9364 and 9361
1. What is the GCF of 9361 and 9364?
Answer: GCF of 9361 and 9364 is 1.
2. What are the Factors of 9361?
Answer: Factors of 9361 are 1, 11, 23, 37, 253, 407, 851, 9361. There are 8 integers that are factors of 9361. The greatest factor of 9361 is 9361.
3. What are the Factors of 9364?
Answer: Factors of 9364 are 1, 2, 4, 2341, 4682, 9364. There are 6 integers that are factors of 9364. The greatest factor of 9364 is 9364.
4. How to Find the GCF of 9361 and 9364?
Answer:
Greatest Common Factor of 9361 and 9364 = 1
Step 1: Find the prime factorization of 9361
9361 = 11 x 23 x 37
Step 2: Find the prime factorization of 9364
9364 = 2 x 2 x 2341
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 9361 and 9364 is 1