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 9356, 9361 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9356 and 9361 is 1.
GCF(9356,9361) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9356
2 | 9356 |
2 | 4678 |
2339 | 2339 |
1 |
Prime factors of 9356 are 2,2339. Prime factorization of 9356 in exponential form is:
9356 = 22×23391
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
∴ So by taking common prime factors GCF of 9356 and 9361 is 1
Factors of 9356
List of positive integer factors of 9356 that divides 9356 without a remainder.
1,2,4,2339,4678,9356
Factors of 9361
List of positive integer factors of 9361 that divides 9361 without a remainder.
1,11,23,37,253,407,851,9361
Greatest Common Factor
We found the factors and prime factorization of 9356 and 9361. The biggest common factor number is the GCF number.
So the greatest common factor 9356 and 9361 is 1.
Also check out the Least Common Multiple of 9356 and 9361
(i) The GCF of 9356 and 9361 is associative
GCF of 9356 and 9361 = GCF of 9361 and 9356
1. What is the GCF of 9356 and 9361?
Answer: GCF of 9356 and 9361 is 1.
2. What are the Factors of 9356?
Answer: Factors of 9356 are 1, 2, 4, 2339, 4678, 9356. There are 6 integers that are factors of 9356. The greatest factor of 9356 is 9356.
3. 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.
4. How to Find the GCF of 9356 and 9361?
Answer:
Greatest Common Factor of 9356 and 9361 = 1
Step 1: Find the prime factorization of 9356
9356 = 2 x 2 x 2339
Step 2: Find the prime factorization of 9361
9361 = 11 x 23 x 37
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 9356 and 9361 is 1