What is the Greatest Common Factor of 72389 and 72396?

Greatest common factor (GCF) of 72389 and 72396 is 1.

GCF(72389,72396) = 1

We will now calculate the prime factors of 72389 and 72396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72389 and 72396.

How to find the GCF of 72389 and 72396?

We will first find the prime factorization of 72389 and 72396. After we will calculate the factors of 72389 and 72396 and find the biggest common factor number .

Step-1: Prime Factorization of 72389

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

72389 = 191¹ × 379¹

Step-2: Prime Factorization of 72396

Prime factors of 72396 are 2, 3, 2011. Prime factorization of 72396 in exponential form is:

72396 = 2² × 3² × 2011¹

Step-3: Factors of 72389

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

1, 191, 379

Step-4: Factors of 72396

List of positive integer factors of 72396 that divides 72389 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2011, 4022, 6033, 8044, 12066, 18099, 24132, 36198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72389 and 72396. The biggest common factor number is the GCF number.
So the greatest common factor 72389 and 72396 is 1.

Also check out the Least Common Multiple of 72389 and 72396