Greatest Common Factor of 6393 and 6399

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 6393, 6399 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6393 and 6399 is 3.

GCF(6393,6399) = 3

GCF of 6393 and 6399

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

GCF of:
and

Greatest Common Factor of 6393 and 6399

GCF of 6393 and 6399 is 3

Prime Factorization of 6393


3 6393
2131 2131
1

Prime factors of 6393 are 3,2131. Prime factorization of 6393 in exponential form is:

6393 = 31×21311

Prime Factorization of 6399


3 6399
3 2133
3 711
3 237
79 79
1

Prime factors of 6399 are 3,79. Prime factorization of 6399 in exponential form is:

6399 = 34×791

∴ So by taking common prime factors GCF of 6393 and 6399 is 3

Greatest Common Factor of 6393 and 6399 by matching factors method

Factors of 6393

List of positive integer factors of 6393 that divides 6393 without a remainder.

1,3,2131,6393

Factors of 6399

List of positive integer factors of 6399 that divides 6399 without a remainder.

1,3,9,27,79,81,237,711,2133,6399

Greatest Common Factor

We found the factors and prime factorization of 6393 and 6399. The biggest common factor number is the GCF number.
So the greatest common factor 6393 and 6399 is 3.

Also check out the Least Common Multiple of 6393 and 6399

Properties of GCF 6393 and 6399

(i) The GCF of 6393 and 6399 is associative

GCF of 6393 and 6399 = GCF of 6399 and 6393

Related Greatest Common Factor of 6393

Related Greatest Common Factor of 6399

Frequently Asked Questions on GCF of 6393 and 6399

1. What is the GCF of 6393 and 6399?

Answer: GCF of 6393 and 6399 is 3.

2. What are the Factors of 6393?

Answer: Factors of 6393 are 1, 3, 2131, 6393. There are 4 integers that are factors of 6393. The greatest factor of 6393 is 6393.

3. What are the Factors of 6399?

Answer: Factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399. There are 10 integers that are factors of 6399. The greatest factor of 6399 is 6399.

4. How to Find the GCF of 6393 and 6399?

Answer:

Greatest Common Factor of 6393 and 6399 = 3

Step 1: Find the prime factorization of 6393

6393 = 3 x 2131

Step 2: Find the prime factorization of 6399

6399 = 3 x 3 x 3 x 3 x 79

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 6393 and 6399 is 3