What is the Greatest Common Factor of 41009 and 41022?

Greatest common factor (GCF) of 41009 and 41022 is 1.

GCF(41009,41022) = 1

We will now calculate the prime factors of 41009 and 41022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41009 and 41022.

How to find the GCF of 41009 and 41022?

We will first find the prime factorization of 41009 and 41022. After we will calculate the factors of 41009 and 41022 and find the biggest common factor number .

Step-1: Prime Factorization of 41009

Prime factors of 41009 are 23, 1783. Prime factorization of 41009 in exponential form is:

41009 = 23¹ × 1783¹

Step-2: Prime Factorization of 41022

Prime factors of 41022 are 2, 3, 43, 53. Prime factorization of 41022 in exponential form is:

41022 = 2¹ × 3² × 43¹ × 53¹

Step-3: Factors of 41009

List of positive integer factors of 41009 that divides 41009 without a remainder.

1, 23, 1783

Step-4: Factors of 41022

List of positive integer factors of 41022 that divides 41009 without a remainder.

1, 2, 3, 6, 9, 18, 43, 53, 86, 106, 129, 159, 258, 318, 387, 477, 774, 954, 2279, 4558, 6837, 13674, 20511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41009 and 41022. The biggest common factor number is the GCF number.
So the greatest common factor 41009 and 41022 is 1.

Also check out the Least Common Multiple of 41009 and 41022