What is the Greatest Common Factor of 93150 and 93165?

Greatest common factor (GCF) of 93150 and 93165 is 15.

GCF(93150,93165) = 15

We will now calculate the prime factors of 93150 and 93165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93150 and 93165.

How to find the GCF of 93150 and 93165?

We will first find the prime factorization of 93150 and 93165. After we will calculate the factors of 93150 and 93165 and find the biggest common factor number .

Step-1: Prime Factorization of 93150

Prime factors of 93150 are 2, 3, 5, 23. Prime factorization of 93150 in exponential form is:

93150 = 2¹ × 3⁴ × 5² × 23¹

Step-2: Prime Factorization of 93165

Prime factors of 93165 are 3, 5, 6211. Prime factorization of 93165 in exponential form is:

93165 = 3¹ × 5¹ × 6211¹

Step-3: Factors of 93150

List of positive integer factors of 93150 that divides 93150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 27, 30, 45, 46, 50, 54, 69, 75, 81, 90, 115, 135, 138, 150, 162, 207, 225, 230, 270, 345, 405, 414, 450, 575, 621, 675, 690, 810, 1035, 1150, 1242, 1350, 1725, 1863, 2025, 2070, 3105, 3450, 3726, 4050, 5175, 6210, 9315, 10350, 15525, 18630, 31050, 46575

Step-4: Factors of 93165

List of positive integer factors of 93165 that divides 93150 without a remainder.

1, 3, 5, 15, 6211, 18633, 31055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93150 and 93165. The biggest common factor number is the GCF number.
So the greatest common factor 93150 and 93165 is 15.

Also check out the Least Common Multiple of 93150 and 93165