What is the Greatest Common Factor of 41405 and 41409?

Greatest common factor (GCF) of 41405 and 41409 is 1.

GCF(41405,41409) = 1

We will now calculate the prime factors of 41405 and 41409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41405 and 41409.

How to find the GCF of 41405 and 41409?

We will first find the prime factorization of 41405 and 41409. After we will calculate the factors of 41405 and 41409 and find the biggest common factor number .

Step-1: Prime Factorization of 41405

Prime factors of 41405 are 5, 7, 13. Prime factorization of 41405 in exponential form is:

41405 = 5¹ × 7² × 13²

Step-2: 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-3: Factors of 41405

List of positive integer factors of 41405 that divides 41405 without a remainder.

1, 5, 7, 13, 35, 49, 65, 91, 169, 245, 455, 637, 845, 1183, 3185, 5915, 8281

Step-4: Factors of 41409

List of positive integer factors of 41409 that divides 41405 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41405 and 41409. The biggest common factor number is the GCF number.
So the greatest common factor 41405 and 41409 is 1.

Also check out the Least Common Multiple of 41405 and 41409