Greatest Common Factor of 9393 and 9399

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 9393, 9399 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9393 and 9399 is 3.

GCF(9393,9399) = 3

GCF of 9393 and 9399

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

GCF of:
and

Greatest Common Factor of 9393 and 9399

GCF of 9393 and 9399 is 3

Prime Factorization of 9393


3 9393
31 3131
101 101
1

Prime factors of 9393 are 3,31,101. Prime factorization of 9393 in exponential form is:

9393 = 31×311×1011

Prime Factorization of 9399


3 9399
13 3133
241 241
1

Prime factors of 9399 are 3,13,241. Prime factorization of 9399 in exponential form is:

9399 = 31×131×2411

∴ So by taking common prime factors GCF of 9393 and 9399 is 3

Greatest Common Factor of 9393 and 9399 by matching factors method

Factors of 9393

List of positive integer factors of 9393 that divides 9393 without a remainder.

1,3,31,93,101,303,3131,9393

Factors of 9399

List of positive integer factors of 9399 that divides 9399 without a remainder.

1,3,13,39,241,723,3133,9399

Greatest Common Factor

We found the factors and prime factorization of 9393 and 9399. The biggest common factor number is the GCF number.
So the greatest common factor 9393 and 9399 is 3.

Also check out the Least Common Multiple of 9393 and 9399

Properties of GCF 9393 and 9399

(i) The GCF of 9393 and 9399 is associative

GCF of 9393 and 9399 = GCF of 9399 and 9393

Related Greatest Common Factor of 9393

Related Greatest Common Factor of 9399

Frequently Asked Questions on GCF of 9393 and 9399

1. What is the GCF of 9393 and 9399?

Answer: GCF of 9393 and 9399 is 3.

2. What are the Factors of 9393?

Answer: Factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393. There are 8 integers that are factors of 9393. The greatest factor of 9393 is 9393.

3. What are the Factors of 9399?

Answer: Factors of 9399 are 1, 3, 13, 39, 241, 723, 3133, 9399. There are 8 integers that are factors of 9399. The greatest factor of 9399 is 9399.

4. How to Find the GCF of 9393 and 9399?

Answer:

Greatest Common Factor of 9393 and 9399 = 3

Step 1: Find the prime factorization of 9393

9393 = 3 x 31 x 101

Step 2: Find the prime factorization of 9399

9399 = 3 x 13 x 241

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 9393 and 9399 is 3