What is the Greatest Common Factor of 90367 and 90372?

Greatest common factor (GCF) of 90367 and 90372 is 1.

GCF(90367,90372) = 1

We will now calculate the prime factors of 90367 and 90372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90367 and 90372.

How to find the GCF of 90367 and 90372?

We will first find the prime factorization of 90367 and 90372. After we will calculate the factors of 90367 and 90372 and find the biggest common factor number .

Step-1: Prime Factorization of 90367

Prime factors of 90367 are 23, 3929. Prime factorization of 90367 in exponential form is:

90367 = 23¹ × 3929¹

Step-2: 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-3: Factors of 90367

List of positive integer factors of 90367 that divides 90367 without a remainder.

1, 23, 3929

Step-4: Factors of 90372

List of positive integer factors of 90372 that divides 90367 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90367 and 90372. The biggest common factor number is the GCF number.
So the greatest common factor 90367 and 90372 is 1.

Also check out the Least Common Multiple of 90367 and 90372