Greatest Common Factor of 9321 and 9325

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, 9325 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9321 and 9325 is 1.

GCF(9321,9325) = 1

GCF of 9321 and 9325

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

GCF of:
and

Greatest Common Factor of 9321 and 9325

GCF of 9321 and 9325 is 1

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 9325


5 9325
5 1865
373 373
1

Prime factors of 9325 are 5,373. Prime factorization of 9325 in exponential form is:

9325 = 52×3731

∴ So by taking common prime factors GCF of 9321 and 9325 is 1

Greatest Common Factor of 9321 and 9325 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 9325

List of positive integer factors of 9325 that divides 9325 without a remainder.

1,5,25,373,1865,9325

Greatest Common Factor

We found the factors and prime factorization of 9321 and 9325. The biggest common factor number is the GCF number.
So the greatest common factor 9321 and 9325 is 1.

Also check out the Least Common Multiple of 9321 and 9325

Properties of GCF 9321 and 9325

(i) The GCF of 9321 and 9325 is associative

GCF of 9321 and 9325 = GCF of 9325 and 9321

Frequently Asked Questions on GCF of 9321 and 9325

1. What is the GCF of 9321 and 9325?

Answer: GCF of 9321 and 9325 is 1.

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 9325?

Answer: Factors of 9325 are 1, 5, 25, 373, 1865, 9325. There are 6 integers that are factors of 9325. The greatest factor of 9325 is 9325.

4. How to Find the GCF of 9321 and 9325?

Answer:

Greatest Common Factor of 9321 and 9325 = 1

Step 1: Find the prime factorization of 9321

9321 = 3 x 13 x 239

Step 2: Find the prime factorization of 9325

9325 = 5 x 5 x 373

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 9321 and 9325 is 1