What is the Greatest Common Factor of 90363 and 90375?

Greatest common factor (GCF) of 90363 and 90375 is 3.

GCF(90363,90375) = 3

We will now calculate the prime factors of 90363 and 90375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90363 and 90375.

How to find the GCF of 90363 and 90375?

We will first find the prime factorization of 90363 and 90375. After we will calculate the factors of 90363 and 90375 and find the biggest common factor number .

Step-1: Prime Factorization of 90363

Prime factors of 90363 are 3, 7, 13, 331. Prime factorization of 90363 in exponential form is:

90363 = 3¹ × 7¹ × 13¹ × 331¹

Step-2: Prime Factorization of 90375

Prime factors of 90375 are 3, 5, 241. Prime factorization of 90375 in exponential form is:

90375 = 3¹ × 5³ × 241¹

Step-3: Factors of 90363

List of positive integer factors of 90363 that divides 90363 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 331, 993, 2317, 4303, 6951, 12909, 30121

Step-4: Factors of 90375

List of positive integer factors of 90375 that divides 90363 without a remainder.

1, 3, 5, 15, 25, 75, 125, 241, 375, 723, 1205, 3615, 6025, 18075, 30125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90363 and 90375. The biggest common factor number is the GCF number.
So the greatest common factor 90363 and 90375 is 3.

Also check out the Least Common Multiple of 90363 and 90375