What is the Greatest Common Factor of 18150 and 18170?

Greatest common factor (GCF) of 18150 and 18170 is 10.

GCF(18150,18170) = 10

We will now calculate the prime factors of 18150 and 18170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18150 and 18170.

How to find the GCF of 18150 and 18170?

We will first find the prime factorization of 18150 and 18170. After we will calculate the factors of 18150 and 18170 and find the biggest common factor number .

Step-1: Prime Factorization of 18150

Prime factors of 18150 are 2, 3, 5, 11. Prime factorization of 18150 in exponential form is:

18150 = 2¹ × 3¹ × 5² × 11²

Step-2: Prime Factorization of 18170

Prime factors of 18170 are 2, 5, 23, 79. Prime factorization of 18170 in exponential form is:

18170 = 2¹ × 5¹ × 23¹ × 79¹

Step-3: Factors of 18150

List of positive integer factors of 18150 that divides 18150 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 121, 150, 165, 242, 275, 330, 363, 550, 605, 726, 825, 1210, 1650, 1815, 3025, 3630, 6050, 9075

Step-4: Factors of 18170

List of positive integer factors of 18170 that divides 18150 without a remainder.

1, 2, 5, 10, 23, 46, 79, 115, 158, 230, 395, 790, 1817, 3634, 9085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18150 and 18170. The biggest common factor number is the GCF number.
So the greatest common factor 18150 and 18170 is 10.

Also check out the Least Common Multiple of 18150 and 18170