What is the Greatest Common Factor of 90372 and 90383?

Greatest common factor (GCF) of 90372 and 90383 is 1.

GCF(90372,90383) = 1

We will now calculate the prime factors of 90372 and 90383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90372 and 90383.

How to find the GCF of 90372 and 90383?

We will first find the prime factorization of 90372 and 90383. After we will calculate the factors of 90372 and 90383 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 90383

Prime factors of 90383 are 19, 67, 71. Prime factorization of 90383 in exponential form is:

90383 = 19¹ × 67¹ × 71¹

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 90383

List of positive integer factors of 90383 that divides 90372 without a remainder.

1, 19, 67, 71, 1273, 1349, 4757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90372 and 90383. The biggest common factor number is the GCF number.
So the greatest common factor 90372 and 90383 is 1.

Also check out the Least Common Multiple of 90372 and 90383