What is the Greatest Common Factor of 41000 and 41005?

Greatest common factor (GCF) of 41000 and 41005 is 5.

GCF(41000,41005) = 5

We will now calculate the prime factors of 41000 and 41005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41000 and 41005.

How to find the GCF of 41000 and 41005?

We will first find the prime factorization of 41000 and 41005. After we will calculate the factors of 41000 and 41005 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 41005

Prime factors of 41005 are 5, 59, 139. Prime factorization of 41005 in exponential form is:

41005 = 5¹ × 59¹ × 139¹

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 41005

List of positive integer factors of 41005 that divides 41000 without a remainder.

1, 5, 59, 139, 295, 695, 8201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41000 and 41005. The biggest common factor number is the GCF number.
So the greatest common factor 41000 and 41005 is 5.

Also check out the Least Common Multiple of 41000 and 41005