What is the Greatest Common Factor of 93150 and 93162?

Greatest common factor (GCF) of 93150 and 93162 is 6.

GCF(93150,93162) = 6

We will now calculate the prime factors of 93150 and 93162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93150 and 93162.

How to find the GCF of 93150 and 93162?

We will first find the prime factorization of 93150 and 93162. After we will calculate the factors of 93150 and 93162 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 93162

Prime factors of 93162 are 2, 3, 15527. Prime factorization of 93162 in exponential form is:

93162 = 2¹ × 3¹ × 15527¹

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 93162

List of positive integer factors of 93162 that divides 93150 without a remainder.

1, 2, 3, 6, 15527, 31054, 46581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93150 and 93162. The biggest common factor number is the GCF number.
So the greatest common factor 93150 and 93162 is 6.

Also check out the Least Common Multiple of 93150 and 93162