What is the Greatest Common Factor of 72369 and 72389?

Greatest common factor (GCF) of 72369 and 72389 is 1.

GCF(72369,72389) = 1

We will now calculate the prime factors of 72369 and 72389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72369 and 72389.

How to find the GCF of 72369 and 72389?

We will first find the prime factorization of 72369 and 72389. After we will calculate the factors of 72369 and 72389 and find the biggest common factor number .

Step-1: Prime Factorization of 72369

Prime factors of 72369 are 3, 11, 17, 43. Prime factorization of 72369 in exponential form is:

72369 = 3² × 11¹ × 17¹ × 43¹

Step-2: Prime Factorization of 72389

Prime factors of 72389 are 191, 379. Prime factorization of 72389 in exponential form is:

72389 = 191¹ × 379¹

Step-3: Factors of 72369

List of positive integer factors of 72369 that divides 72369 without a remainder.

1, 3, 9, 11, 17, 33, 43, 51, 99, 129, 153, 187, 387, 473, 561, 731, 1419, 1683, 2193, 4257, 6579, 8041, 24123

Step-4: Factors of 72389

List of positive integer factors of 72389 that divides 72369 without a remainder.

1, 191, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72369 and 72389. The biggest common factor number is the GCF number.
So the greatest common factor 72369 and 72389 is 1.

Also check out the Least Common Multiple of 72369 and 72389