What is the Greatest Common Factor of 41800 and 41819?

Greatest common factor (GCF) of 41800 and 41819 is 19.

GCF(41800,41819) = 19

We will now calculate the prime factors of 41800 and 41819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41800 and 41819.

How to find the GCF of 41800 and 41819?

We will first find the prime factorization of 41800 and 41819. After we will calculate the factors of 41800 and 41819 and find the biggest common factor number .

Step-1: Prime Factorization of 41800

Prime factors of 41800 are 2, 5, 11, 19. Prime factorization of 41800 in exponential form is:

41800 = 2³ × 5² × 11¹ × 19¹

Step-2: Prime Factorization of 41819

Prime factors of 41819 are 19, 31, 71. Prime factorization of 41819 in exponential form is:

41819 = 19¹ × 31¹ × 71¹

Step-3: Factors of 41800

List of positive integer factors of 41800 that divides 41800 without a remainder.

1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 25, 38, 40, 44, 50, 55, 76, 88, 95, 100, 110, 152, 190, 200, 209, 220, 275, 380, 418, 440, 475, 550, 760, 836, 950, 1045, 1100, 1672, 1900, 2090, 2200, 3800, 4180, 5225, 8360, 10450, 20900

Step-4: Factors of 41819

List of positive integer factors of 41819 that divides 41800 without a remainder.

1, 19, 31, 71, 589, 1349, 2201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41800 and 41819. The biggest common factor number is the GCF number.
So the greatest common factor 41800 and 41819 is 19.

Also check out the Least Common Multiple of 41800 and 41819