What is the Greatest Common Factor of 90315 and 90325?

Greatest common factor (GCF) of 90315 and 90325 is 5.

GCF(90315,90325) = 5

We will now calculate the prime factors of 90315 and 90325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90315 and 90325.

How to find the GCF of 90315 and 90325?

We will first find the prime factorization of 90315 and 90325. After we will calculate the factors of 90315 and 90325 and find the biggest common factor number .

Step-1: Prime Factorization of 90315

Prime factors of 90315 are 3, 5, 223. Prime factorization of 90315 in exponential form is:

90315 = 3⁴ × 5¹ × 223¹

Step-2: Prime Factorization of 90325

Prime factors of 90325 are 5, 3613. Prime factorization of 90325 in exponential form is:

90325 = 5² × 3613¹

Step-3: Factors of 90315

List of positive integer factors of 90315 that divides 90315 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 223, 405, 669, 1115, 2007, 3345, 6021, 10035, 18063, 30105

Step-4: Factors of 90325

List of positive integer factors of 90325 that divides 90315 without a remainder.

1, 5, 25, 3613, 18065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90315 and 90325. The biggest common factor number is the GCF number.
So the greatest common factor 90315 and 90325 is 5.

Also check out the Least Common Multiple of 90315 and 90325