What is the Greatest Common Factor of 34170 and 34185?

Greatest common factor (GCF) of 34170 and 34185 is 15.

GCF(34170,34185) = 15

We will now calculate the prime factors of 34170 and 34185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34170 and 34185.

How to find the GCF of 34170 and 34185?

We will first find the prime factorization of 34170 and 34185. After we will calculate the factors of 34170 and 34185 and find the biggest common factor number .

Step-1: Prime Factorization of 34170

Prime factors of 34170 are 2, 3, 5, 17, 67. Prime factorization of 34170 in exponential form is:

34170 = 2¹ × 3¹ × 5¹ × 17¹ × 67¹

Step-2: Prime Factorization of 34185

Prime factors of 34185 are 3, 5, 43, 53. Prime factorization of 34185 in exponential form is:

34185 = 3¹ × 5¹ × 43¹ × 53¹

Step-3: Factors of 34170

List of positive integer factors of 34170 that divides 34170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 67, 85, 102, 134, 170, 201, 255, 335, 402, 510, 670, 1005, 1139, 2010, 2278, 3417, 5695, 6834, 11390, 17085

Step-4: Factors of 34185

List of positive integer factors of 34185 that divides 34170 without a remainder.

1, 3, 5, 15, 43, 53, 129, 159, 215, 265, 645, 795, 2279, 6837, 11395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34170 and 34185. The biggest common factor number is the GCF number.
So the greatest common factor 34170 and 34185 is 15.

Also check out the Least Common Multiple of 34170 and 34185