Greatest Common Factor of 9325 and 9330

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 9325, 9330 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9325 and 9330 is 5.

GCF(9325,9330) = 5

GCF of 9325 and 9330

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

GCF of:
and

Greatest Common Factor of 9325 and 9330

GCF of 9325 and 9330 is 5

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

Prime Factorization of 9330


2 9330
3 4665
5 1555
311 311
1

Prime factors of 9330 are 2,3,5,311. Prime factorization of 9330 in exponential form is:

9330 = 21×31×51×3111

∴ So by taking common prime factors GCF of 9325 and 9330 is 5

Greatest Common Factor of 9325 and 9330 by matching factors method

Factors of 9325

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

1,5,25,373,1865,9325

Factors of 9330

List of positive integer factors of 9330 that divides 9330 without a remainder.

1,2,3,5,6,10,15,30,311,622,933,1555,1866,3110,4665,9330

Greatest Common Factor

We found the factors and prime factorization of 9325 and 9330. The biggest common factor number is the GCF number.
So the greatest common factor 9325 and 9330 is 5.

Also check out the Least Common Multiple of 9325 and 9330

Properties of GCF 9325 and 9330

(i) The GCF of 9325 and 9330 is associative

GCF of 9325 and 9330 = GCF of 9330 and 9325

Related Greatest Common Factor of 9325

Related Greatest Common Factor of 9330

Frequently Asked Questions on GCF of 9325 and 9330

1. What is the GCF of 9325 and 9330?

Answer: GCF of 9325 and 9330 is 5.

2. 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.

3. What are the Factors of 9330?

Answer: Factors of 9330 are 1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330. There are 16 integers that are factors of 9330. The greatest factor of 9330 is 9330.

4. How to Find the GCF of 9325 and 9330?

Answer:

Greatest Common Factor of 9325 and 9330 = 5

Step 1: Find the prime factorization of 9325

9325 = 5 x 5 x 373

Step 2: Find the prime factorization of 9330

9330 = 2 x 3 x 5 x 311

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9325 and 9330 is 5