What is the Greatest Common Factor of 12150 and 12170?

Greatest common factor (GCF) of 12150 and 12170 is 10.

GCF(12150,12170) = 10

We will now calculate the prime factors of 12150 and 12170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12150 and 12170.

How to find the GCF of 12150 and 12170?

We will first find the prime factorization of 12150 and 12170. After we will calculate the factors of 12150 and 12170 and find the biggest common factor number .

Step-1: Prime Factorization of 12150

Prime factors of 12150 are 2, 3, 5. Prime factorization of 12150 in exponential form is:

12150 = 2¹ × 3⁵ × 5²

Step-2: Prime Factorization of 12170

Prime factors of 12170 are 2, 5, 1217. Prime factorization of 12170 in exponential form is:

12170 = 2¹ × 5¹ × 1217¹

Step-3: Factors of 12150

List of positive integer factors of 12150 that divides 12150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 243, 270, 405, 450, 486, 675, 810, 1215, 1350, 2025, 2430, 4050, 6075

Step-4: Factors of 12170

List of positive integer factors of 12170 that divides 12150 without a remainder.

1, 2, 5, 10, 1217, 2434, 6085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12150 and 12170. The biggest common factor number is the GCF number.
So the greatest common factor 12150 and 12170 is 10.

Also check out the Least Common Multiple of 12150 and 12170