Greatest Common Factor of 9321 and 9327

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 9321, 9327 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9321 and 9327 is 3.

GCF(9321,9327) = 3

GCF of 9321 and 9327

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

GCF of:
and

Greatest Common Factor of 9321 and 9327

GCF of 9321 and 9327 is 3

Prime Factorization of 9321


3 9321
13 3107
239 239
1

Prime factors of 9321 are 3,13,239. Prime factorization of 9321 in exponential form is:

9321 = 31×131×2391

Prime Factorization of 9327


3 9327
3109 3109
1

Prime factors of 9327 are 3,3109. Prime factorization of 9327 in exponential form is:

9327 = 31×31091

∴ So by taking common prime factors GCF of 9321 and 9327 is 3

Greatest Common Factor of 9321 and 9327 by matching factors method

Factors of 9321

List of positive integer factors of 9321 that divides 9321 without a remainder.

1,3,13,39,239,717,3107,9321

Factors of 9327

List of positive integer factors of 9327 that divides 9327 without a remainder.

1,3,3109,9327

Greatest Common Factor

We found the factors and prime factorization of 9321 and 9327. The biggest common factor number is the GCF number.
So the greatest common factor 9321 and 9327 is 3.

Also check out the Least Common Multiple of 9321 and 9327

Properties of GCF 9321 and 9327

(i) The GCF of 9321 and 9327 is associative

GCF of 9321 and 9327 = GCF of 9327 and 9321

Related Greatest Common Factor of 9321

Related Greatest Common Factor of 9327

Frequently Asked Questions on GCF of 9321 and 9327

1. What is the GCF of 9321 and 9327?

Answer: GCF of 9321 and 9327 is 3.

2. What are the Factors of 9321?

Answer: Factors of 9321 are 1, 3, 13, 39, 239, 717, 3107, 9321. There are 8 integers that are factors of 9321. The greatest factor of 9321 is 9321.

3. What are the Factors of 9327?

Answer: Factors of 9327 are 1, 3, 3109, 9327. There are 4 integers that are factors of 9327. The greatest factor of 9327 is 9327.

4. How to Find the GCF of 9321 and 9327?

Answer:

Greatest Common Factor of 9321 and 9327 = 3

Step 1: Find the prime factorization of 9321

9321 = 3 x 13 x 239

Step 2: Find the prime factorization of 9327

9327 = 3 x 3109

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9321 and 9327 is 3