Greatest Common Factor of 7389 and 7395

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 7389, 7395 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7389 and 7395 is 3.

GCF(7389,7395) = 3

GCF of 7389 and 7395

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

GCF of:
and

Greatest Common Factor of 7389 and 7395

GCF of 7389 and 7395 is 3

Prime Factorization of 7389


3 7389
3 2463
821 821
1

Prime factors of 7389 are 3,821. Prime factorization of 7389 in exponential form is:

7389 = 32×8211

Prime Factorization of 7395


3 7395
5 2465
17 493
29 29
1

Prime factors of 7395 are 3,5,17,29. Prime factorization of 7395 in exponential form is:

7395 = 31×51×171×291

∴ So by taking common prime factors GCF of 7389 and 7395 is 3

Greatest Common Factor of 7389 and 7395 by matching factors method

Factors of 7389

List of positive integer factors of 7389 that divides 7389 without a remainder.

1,3,9,821,2463,7389

Factors of 7395

List of positive integer factors of 7395 that divides 7395 without a remainder.

1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395

Greatest Common Factor

We found the factors and prime factorization of 7389 and 7395. The biggest common factor number is the GCF number.
So the greatest common factor 7389 and 7395 is 3.

Also check out the Least Common Multiple of 7389 and 7395

Properties of GCF 7389 and 7395

(i) The GCF of 7389 and 7395 is associative

GCF of 7389 and 7395 = GCF of 7395 and 7389

Related Greatest Common Factor of 7389

Related Greatest Common Factor of 7395

Frequently Asked Questions on GCF of 7389 and 7395

1. What is the GCF of 7389 and 7395?

Answer: GCF of 7389 and 7395 is 3.

2. What are the Factors of 7389?

Answer: Factors of 7389 are 1, 3, 9, 821, 2463, 7389. There are 6 integers that are factors of 7389. The greatest factor of 7389 is 7389.

3. What are the Factors of 7395?

Answer: Factors of 7395 are 1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465, 7395. There are 16 integers that are factors of 7395. The greatest factor of 7395 is 7395.

4. How to Find the GCF of 7389 and 7395?

Answer:

Greatest Common Factor of 7389 and 7395 = 3

Step 1: Find the prime factorization of 7389

7389 = 3 x 3 x 821

Step 2: Find the prime factorization of 7395

7395 = 3 x 5 x 17 x 29

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 7389 and 7395 is 3