What is the Greatest Common Factor of 41409 and 41418?

Greatest common factor (GCF) of 41409 and 41418 is 9.

GCF(41409,41418) = 9

We will now calculate the prime factors of 41409 and 41418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41409 and 41418.

How to find the GCF of 41409 and 41418?

We will first find the prime factorization of 41409 and 41418. After we will calculate the factors of 41409 and 41418 and find the biggest common factor number .

Step-1: Prime Factorization of 41409

Prime factors of 41409 are 3, 43, 107. Prime factorization of 41409 in exponential form is:

41409 = 3² × 43¹ × 107¹

Step-2: Prime Factorization of 41418

Prime factors of 41418 are 2, 3, 13, 59. Prime factorization of 41418 in exponential form is:

41418 = 2¹ × 3³ × 13¹ × 59¹

Step-3: Factors of 41409

List of positive integer factors of 41409 that divides 41409 without a remainder.

1, 3, 9, 43, 107, 129, 321, 387, 963, 4601, 13803

Step-4: Factors of 41418

List of positive integer factors of 41418 that divides 41409 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 59, 78, 117, 118, 177, 234, 351, 354, 531, 702, 767, 1062, 1534, 1593, 2301, 3186, 4602, 6903, 13806, 20709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41409 and 41418. The biggest common factor number is the GCF number.
So the greatest common factor 41409 and 41418 is 9.

Also check out the Least Common Multiple of 41409 and 41418