What is the Greatest Common Factor of 90372 and 90387?

Greatest common factor (GCF) of 90372 and 90387 is 3.

GCF(90372,90387) = 3

We will now calculate the prime factors of 90372 and 90387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90372 and 90387.

How to find the GCF of 90372 and 90387?

We will first find the prime factorization of 90372 and 90387. After we will calculate the factors of 90372 and 90387 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 90387

Prime factors of 90387 are 3, 11, 83. Prime factorization of 90387 in exponential form is:

90387 = 3² × 11² × 83¹

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 90387

List of positive integer factors of 90387 that divides 90372 without a remainder.

1, 3, 9, 11, 33, 83, 99, 121, 249, 363, 747, 913, 1089, 2739, 8217, 10043, 30129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90372 and 90387. The biggest common factor number is the GCF number.
So the greatest common factor 90372 and 90387 is 3.

Also check out the Least Common Multiple of 90372 and 90387