What is the Greatest Common Factor of 34170 and 34182?

Greatest common factor (GCF) of 34170 and 34182 is 6.

GCF(34170,34182) = 6

We will now calculate the prime factors of 34170 and 34182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34170 and 34182.

How to find the GCF of 34170 and 34182?

We will first find the prime factorization of 34170 and 34182. After we will calculate the factors of 34170 and 34182 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 34182

Prime factors of 34182 are 2, 3, 211. Prime factorization of 34182 in exponential form is:

34182 = 2¹ × 3⁴ × 211¹

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 34182

List of positive integer factors of 34182 that divides 34170 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 211, 422, 633, 1266, 1899, 3798, 5697, 11394, 17091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34170 and 34182. The biggest common factor number is the GCF number.
So the greatest common factor 34170 and 34182 is 6.

Also check out the Least Common Multiple of 34170 and 34182