What is the Greatest Common Factor of 7371 and 7389?

Greatest common factor (GCF) of 7371 and 7389 is 9.

GCF(7371,7389) = 9

We will now calculate the prime factors of 7371 and 7389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7371 and 7389.

How to find the GCF of 7371 and 7389?

We will first find the prime factorization of 7371 and 7389. After we will calculate the factors of 7371 and 7389 and find the biggest common factor number .

Step-1: Prime Factorization of 7371

Prime factors of 7371 are 3, 7, 13. Prime factorization of 7371 in exponential form is:

7371 = 3⁴ × 7¹ × 13¹

Step-2: Prime Factorization of 7389

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

7389 = 3² × 821¹

Step-3: Factors of 7371

List of positive integer factors of 7371 that divides 7371 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457

Step-4: Factors of 7389

List of positive integer factors of 7389 that divides 7371 without a remainder.

1, 3, 9, 821, 2463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7371 and 7389. The biggest common factor number is the GCF number.
So the greatest common factor 7371 and 7389 is 9.

Also check out the Least Common Multiple of 7371 and 7389