What is the Greatest Common Factor of 93144 and 93150?

Greatest common factor (GCF) of 93144 and 93150 is 6.

GCF(93144,93150) = 6

We will now calculate the prime factors of 93144 and 93150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93144 and 93150.

How to find the GCF of 93144 and 93150?

We will first find the prime factorization of 93144 and 93150. After we will calculate the factors of 93144 and 93150 and find the biggest common factor number .

Step-1: Prime Factorization of 93144

Prime factors of 93144 are 2, 3, 3881. Prime factorization of 93144 in exponential form is:

93144 = 2³ × 3¹ × 3881¹

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 93144

List of positive integer factors of 93144 that divides 93144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3881, 7762, 11643, 15524, 23286, 31048, 46572

Step-4: Factors of 93150

List of positive integer factors of 93150 that divides 93144 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 93144 and 93150. The biggest common factor number is the GCF number.
So the greatest common factor 93144 and 93150 is 6.

Also check out the Least Common Multiple of 93144 and 93150