Greatest Common Factor of 7383 and 7389

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 7383, 7389 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7383 and 7389 is 3.

GCF(7383,7389) = 3

GCF of 7383 and 7389

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

GCF of:
and

Greatest Common Factor of 7383 and 7389

GCF of 7383 and 7389 is 3

Prime Factorization of 7383


3 7383
23 2461
107 107
1

Prime factors of 7383 are 3,23,107. Prime factorization of 7383 in exponential form is:

7383 = 31×231×1071

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

∴ So by taking common prime factors GCF of 7383 and 7389 is 3

Greatest Common Factor of 7383 and 7389 by matching factors method

Factors of 7383

List of positive integer factors of 7383 that divides 7383 without a remainder.

1,3,23,69,107,321,2461,7383

Factors of 7389

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

1,3,9,821,2463,7389

Greatest Common Factor

We found the factors and prime factorization of 7383 and 7389. The biggest common factor number is the GCF number.
So the greatest common factor 7383 and 7389 is 3.

Also check out the Least Common Multiple of 7383 and 7389

Properties of GCF 7383 and 7389

(i) The GCF of 7383 and 7389 is associative

GCF of 7383 and 7389 = GCF of 7389 and 7383

Related Greatest Common Factor of 7383

Related Greatest Common Factor of 7389

Frequently Asked Questions on GCF of 7383 and 7389

1. What is the GCF of 7383 and 7389?

Answer: GCF of 7383 and 7389 is 3.

2. What are the Factors of 7383?

Answer: Factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383. There are 8 integers that are factors of 7383. The greatest factor of 7383 is 7383.

3. 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.

4. How to Find the GCF of 7383 and 7389?

Answer:

Greatest Common Factor of 7383 and 7389 = 3

Step 1: Find the prime factorization of 7383

7383 = 3 x 23 x 107

Step 2: Find the prime factorization of 7389

7389 = 3 x 3 x 821

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 7383 and 7389 is 3