What is the Greatest Common Factor of 41304 and 41310?

Greatest common factor (GCF) of 41304 and 41310 is 6.

GCF(41304,41310) = 6

We will now calculate the prime factors of 41304 and 41310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41304 and 41310.

How to find the GCF of 41304 and 41310?

We will first find the prime factorization of 41304 and 41310. After we will calculate the factors of 41304 and 41310 and find the biggest common factor number .

Step-1: Prime Factorization of 41304

Prime factors of 41304 are 2, 3, 1721. Prime factorization of 41304 in exponential form is:

41304 = 2³ × 3¹ × 1721¹

Step-2: Prime Factorization of 41310

Prime factors of 41310 are 2, 3, 5, 17. Prime factorization of 41310 in exponential form is:

41310 = 2¹ × 3⁵ × 5¹ × 17¹

Step-3: Factors of 41304

List of positive integer factors of 41304 that divides 41304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1721, 3442, 5163, 6884, 10326, 13768, 20652

Step-4: Factors of 41310

List of positive integer factors of 41310 that divides 41304 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 81, 85, 90, 102, 135, 153, 162, 170, 243, 255, 270, 306, 405, 459, 486, 510, 765, 810, 918, 1215, 1377, 1530, 2295, 2430, 2754, 4131, 4590, 6885, 8262, 13770, 20655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41304 and 41310. The biggest common factor number is the GCF number.
So the greatest common factor 41304 and 41310 is 6.

Also check out the Least Common Multiple of 41304 and 41310