What is the Greatest Common Factor of 41000 and 41008?

Greatest common factor (GCF) of 41000 and 41008 is 8.

GCF(41000,41008) = 8

We will now calculate the prime factors of 41000 and 41008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41000 and 41008.

How to find the GCF of 41000 and 41008?

We will first find the prime factorization of 41000 and 41008. After we will calculate the factors of 41000 and 41008 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 41008

Prime factors of 41008 are 2, 11, 233. Prime factorization of 41008 in exponential form is:

41008 = 2⁴ × 11¹ × 233¹

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 41008

List of positive integer factors of 41008 that divides 41000 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 233, 466, 932, 1864, 2563, 3728, 5126, 10252, 20504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41000 and 41008. The biggest common factor number is the GCF number.
So the greatest common factor 41000 and 41008 is 8.

Also check out the Least Common Multiple of 41000 and 41008