What is the Greatest Common Factor of 93135 and 93150?

Greatest common factor (GCF) of 93135 and 93150 is 15.

GCF(93135,93150) = 15

We will now calculate the prime factors of 93135 and 93150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93135 and 93150.

How to find the GCF of 93135 and 93150?

We will first find the prime factorization of 93135 and 93150. After we will calculate the factors of 93135 and 93150 and find the biggest common factor number .

Step-1: Prime Factorization of 93135

Prime factors of 93135 are 3, 5, 7, 887. Prime factorization of 93135 in exponential form is:

93135 = 3¹ × 5¹ × 7¹ × 887¹

Step-2: 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-3: Factors of 93135

List of positive integer factors of 93135 that divides 93135 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 887, 2661, 4435, 6209, 13305, 18627, 31045

Step-4: Factors of 93150

List of positive integer factors of 93150 that divides 93135 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93135 and 93150. The biggest common factor number is the GCF number.
So the greatest common factor 93135 and 93150 is 15.

Also check out the Least Common Multiple of 93135 and 93150