Greatest Common Factor of 9361 and 9365

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, 9365 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9361 and 9365 is 1.

GCF(9361,9365) = 1

GCF of 9361 and 9365

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

GCF of:
and

Greatest Common Factor of 9361 and 9365

GCF of 9361 and 9365 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 9365


5 9365
1873 1873
1

Prime factors of 9365 are 5,1873. Prime factorization of 9365 in exponential form is:

9365 = 51×18731

∴ So by taking common prime factors GCF of 9361 and 9365 is 1

Greatest Common Factor of 9361 and 9365 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 9365

List of positive integer factors of 9365 that divides 9365 without a remainder.

1,5,1873,9365

Greatest Common Factor

We found the factors and prime factorization of 9361 and 9365. The biggest common factor number is the GCF number.
So the greatest common factor 9361 and 9365 is 1.

Also check out the Least Common Multiple of 9361 and 9365

Properties of GCF 9361 and 9365

(i) The GCF of 9361 and 9365 is associative

GCF of 9361 and 9365 = GCF of 9365 and 9361

Related Greatest Common Factor of 9361

Related Greatest Common Factor of 9365

Frequently Asked Questions on GCF of 9361 and 9365

1. What is the GCF of 9361 and 9365?

Answer: GCF of 9361 and 9365 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 9365?

Answer: Factors of 9365 are 1, 5, 1873, 9365. There are 4 integers that are factors of 9365. The greatest factor of 9365 is 9365.

4. How to Find the GCF of 9361 and 9365?

Answer:

Greatest Common Factor of 9361 and 9365 = 1

Step 1: Find the prime factorization of 9361

9361 = 11 x 23 x 37

Step 2: Find the prime factorization of 9365

9365 = 5 x 1873

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 9365 is 1