What is the Greatest Common Factor of 93150 and 93170?

Greatest common factor (GCF) of 93150 and 93170 is 10.

GCF(93150,93170) = 10

We will now calculate the prime factors of 93150 and 93170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93150 and 93170.

How to find the GCF of 93150 and 93170?

We will first find the prime factorization of 93150 and 93170. After we will calculate the factors of 93150 and 93170 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 93170

Prime factors of 93170 are 2, 5, 7, 11. Prime factorization of 93170 in exponential form is:

93170 = 2¹ × 5¹ × 7¹ × 11³

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 93170

List of positive integer factors of 93170 that divides 93150 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1331, 1694, 2662, 4235, 6655, 8470, 9317, 13310, 18634, 46585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93150 and 93170. The biggest common factor number is the GCF number.
So the greatest common factor 93150 and 93170 is 10.

Also check out the Least Common Multiple of 93150 and 93170