What is the Greatest Common Factor of 90372 and 90389?

Greatest common factor (GCF) of 90372 and 90389 is 17.

GCF(90372,90389) = 17

We will now calculate the prime factors of 90372 and 90389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90372 and 90389.

How to find the GCF of 90372 and 90389?

We will first find the prime factorization of 90372 and 90389. After we will calculate the factors of 90372 and 90389 and find the biggest common factor number .

Step-1: Prime Factorization of 90372

Prime factors of 90372 are 2, 3, 17, 443. Prime factorization of 90372 in exponential form is:

90372 = 2² × 3¹ × 17¹ × 443¹

Step-2: Prime Factorization of 90389

Prime factors of 90389 are 13, 17, 409. Prime factorization of 90389 in exponential form is:

90389 = 13¹ × 17¹ × 409¹

Step-3: Factors of 90372

List of positive integer factors of 90372 that divides 90372 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 443, 886, 1329, 1772, 2658, 5316, 7531, 15062, 22593, 30124, 45186

Step-4: Factors of 90389

List of positive integer factors of 90389 that divides 90372 without a remainder.

1, 13, 17, 221, 409, 5317, 6953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90372 and 90389. The biggest common factor number is the GCF number.
So the greatest common factor 90372 and 90389 is 17.

Also check out the Least Common Multiple of 90372 and 90389