What is the Greatest Common Factor of 41310 and 41319?

Greatest common factor (GCF) of 41310 and 41319 is 9.

GCF(41310,41319) = 9

We will now calculate the prime factors of 41310 and 41319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41310 and 41319.

How to find the GCF of 41310 and 41319?

We will first find the prime factorization of 41310 and 41319. After we will calculate the factors of 41310 and 41319 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41319

Prime factors of 41319 are 3, 4591. Prime factorization of 41319 in exponential form is:

41319 = 3² × 4591¹

Step-3: Factors of 41310

List of positive integer factors of 41310 that divides 41310 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

Step-4: Factors of 41319

List of positive integer factors of 41319 that divides 41310 without a remainder.

1, 3, 9, 4591, 13773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41310 and 41319. The biggest common factor number is the GCF number.
So the greatest common factor 41310 and 41319 is 9.

Also check out the Least Common Multiple of 41310 and 41319