Greatest Common Factor of 9361 and 9366

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, 9366 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9361 and 9366 is 1.

GCF(9361,9366) = 1

GCF of 9361 and 9366

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9361 and 9366

GCF of 9361 and 9366 is 1

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 9366


2 9366
3 4683
7 1561
223 223
1

Prime factors of 9366 are 2,3,7,223. Prime factorization of 9366 in exponential form is:

9366 = 21×31×71×2231

∴ So by taking common prime factors GCF of 9361 and 9366 is 1

Greatest Common Factor of 9361 and 9366 by matching factors method

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 9366

List of positive integer factors of 9366 that divides 9366 without a remainder.

1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366

Greatest Common Factor

We found the factors and prime factorization of 9361 and 9366. The biggest common factor number is the GCF number.
So the greatest common factor 9361 and 9366 is 1.

Also check out the Least Common Multiple of 9361 and 9366

Properties of GCF 9361 and 9366

(i) The GCF of 9361 and 9366 is associative

GCF of 9361 and 9366 = GCF of 9366 and 9361

Related Greatest Common Factor of 9361

Related Greatest Common Factor of 9366

Frequently Asked Questions on GCF of 9361 and 9366

1. What is the GCF of 9361 and 9366?

Answer: GCF of 9361 and 9366 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 9366?

Answer: Factors of 9366 are 1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366. There are 16 integers that are factors of 9366. The greatest factor of 9366 is 9366.

4. How to Find the GCF of 9361 and 9366?

Answer:

Greatest Common Factor of 9361 and 9366 = 1

Step 1: Find the prime factorization of 9361

9361 = 11 x 23 x 37

Step 2: Find the prime factorization of 9366

9366 = 2 x 3 x 7 x 223

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 9366 is 1