What is the Greatest Common Factor of 41000 and 41017?

Greatest common factor (GCF) of 41000 and 41017 is 1.

GCF(41000,41017) = 1

We will now calculate the prime factors of 41000 and 41017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41000 and 41017.

How to find the GCF of 41000 and 41017?

We will first find the prime factorization of 41000 and 41017. After we will calculate the factors of 41000 and 41017 and find the biggest common factor number .

Step-1: Prime Factorization of 41000

Prime factors of 41000 are 2, 5, 41. Prime factorization of 41000 in exponential form is:

41000 = 2³ × 5³ × 41¹

Step-2: Prime Factorization of 41017

Prime factors of 41017 are 41017. Prime factorization of 41017 in exponential form is:

41017 = 41017¹

Step-3: Factors of 41000

List of positive integer factors of 41000 that divides 41000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 125, 164, 200, 205, 250, 328, 410, 500, 820, 1000, 1025, 1640, 2050, 4100, 5125, 8200, 10250, 20500

Step-4: Factors of 41017

List of positive integer factors of 41017 that divides 41000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41000 and 41017. The biggest common factor number is the GCF number.
So the greatest common factor 41000 and 41017 is 1.

Also check out the Least Common Multiple of 41000 and 41017