What is the Greatest Common Factor of 41004 and 41022?

Greatest common factor (GCF) of 41004 and 41022 is 18.

GCF(41004,41022) = 18

We will now calculate the prime factors of 41004 and 41022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41004 and 41022.

How to find the GCF of 41004 and 41022?

We will first find the prime factorization of 41004 and 41022. After we will calculate the factors of 41004 and 41022 and find the biggest common factor number .

Step-1: Prime Factorization of 41004

Prime factors of 41004 are 2, 3, 17, 67. Prime factorization of 41004 in exponential form is:

41004 = 2² × 3² × 17¹ × 67¹

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 41004

List of positive integer factors of 41004 that divides 41004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 67, 68, 102, 134, 153, 201, 204, 268, 306, 402, 603, 612, 804, 1139, 1206, 2278, 2412, 3417, 4556, 6834, 10251, 13668, 20502

Step-4: Factors of 41022

List of positive integer factors of 41022 that divides 41004 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 41004 and 41022. The biggest common factor number is the GCF number.
So the greatest common factor 41004 and 41022 is 18.

Also check out the Least Common Multiple of 41004 and 41022