What is the Greatest Common Factor of 93150 and 93168?

Greatest common factor (GCF) of 93150 and 93168 is 18.

GCF(93150,93168) = 18

We will now calculate the prime factors of 93150 and 93168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93150 and 93168.

How to find the GCF of 93150 and 93168?

We will first find the prime factorization of 93150 and 93168. After we will calculate the factors of 93150 and 93168 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 93168

Prime factors of 93168 are 2, 3, 647. Prime factorization of 93168 in exponential form is:

93168 = 2⁴ × 3² × 647¹

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 93168

List of positive integer factors of 93168 that divides 93150 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 647, 1294, 1941, 2588, 3882, 5176, 5823, 7764, 10352, 11646, 15528, 23292, 31056, 46584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93150 and 93168. The biggest common factor number is the GCF number.
So the greatest common factor 93150 and 93168 is 18.

Also check out the Least Common Multiple of 93150 and 93168