Greatest Common Factor of 9320 and 9321

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 9320, 9321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9320 and 9321 is 1.

GCF(9320,9321) = 1

GCF of 9320 and 9321

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

GCF of:
and

Greatest Common Factor of 9320 and 9321

GCF of 9320 and 9321 is 1

Prime Factorization of 9320


2 9320
2 4660
2 2330
5 1165
233 233
1

Prime factors of 9320 are 2,5,233. Prime factorization of 9320 in exponential form is:

9320 = 23×51×2331

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

∴ So by taking common prime factors GCF of 9320 and 9321 is 1

Greatest Common Factor of 9320 and 9321 by matching factors method

Factors of 9320

List of positive integer factors of 9320 that divides 9320 without a remainder.

1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320

Factors of 9321

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

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

Greatest Common Factor

We found the factors and prime factorization of 9320 and 9321. The biggest common factor number is the GCF number.
So the greatest common factor 9320 and 9321 is 1.

Also check out the Least Common Multiple of 9320 and 9321

Properties of GCF 9320 and 9321

(i) The GCF of 9320 and 9321 is associative

GCF of 9320 and 9321 = GCF of 9321 and 9320

Frequently Asked Questions on GCF of 9320 and 9321

1. What is the GCF of 9320 and 9321?

Answer: GCF of 9320 and 9321 is 1.

2. What are the Factors of 9320?

Answer: Factors of 9320 are 1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320. There are 16 integers that are factors of 9320. The greatest factor of 9320 is 9320.

3. 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.

4. How to Find the GCF of 9320 and 9321?

Answer:

Greatest Common Factor of 9320 and 9321 = 1

Step 1: Find the prime factorization of 9320

9320 = 2 x 2 x 2 x 5 x 233

Step 2: Find the prime factorization of 9321

9321 = 3 x 13 x 239

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 9320 and 9321 is 1