What is the Greatest Common Factor of 18800 and 18819?

Greatest common factor (GCF) of 18800 and 18819 is 1.

GCF(18800,18819) = 1

We will now calculate the prime factors of 18800 and 18819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18800 and 18819.

How to find the GCF of 18800 and 18819?

We will first find the prime factorization of 18800 and 18819. After we will calculate the factors of 18800 and 18819 and find the biggest common factor number .

Step-1: Prime Factorization of 18800

Prime factors of 18800 are 2, 5, 47. Prime factorization of 18800 in exponential form is:

18800 = 2⁴ × 5² × 47¹

Step-2: Prime Factorization of 18819

Prime factors of 18819 are 3, 17, 41. Prime factorization of 18819 in exponential form is:

18819 = 3³ × 17¹ × 41¹

Step-3: Factors of 18800

List of positive integer factors of 18800 that divides 18800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 47, 50, 80, 94, 100, 188, 200, 235, 376, 400, 470, 752, 940, 1175, 1880, 2350, 3760, 4700, 9400

Step-4: Factors of 18819

List of positive integer factors of 18819 that divides 18800 without a remainder.

1, 3, 9, 17, 27, 41, 51, 123, 153, 369, 459, 697, 1107, 2091, 6273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18800 and 18819. The biggest common factor number is the GCF number.
So the greatest common factor 18800 and 18819 is 1.

Also check out the Least Common Multiple of 18800 and 18819