What is the Greatest Common Factor of 18800 and 18810?

Greatest common factor (GCF) of 18800 and 18810 is 10.

GCF(18800,18810) = 10

We will now calculate the prime factors of 18800 and 18810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18800 and 18810.

How to find the GCF of 18800 and 18810?

We will first find the prime factorization of 18800 and 18810. After we will calculate the factors of 18800 and 18810 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 18810

Prime factors of 18810 are 2, 3, 5, 11, 19. Prime factorization of 18810 in exponential form is:

18810 = 2¹ × 3² × 5¹ × 11¹ × 19¹

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 18810

List of positive integer factors of 18810 that divides 18800 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 19, 22, 30, 33, 38, 45, 55, 57, 66, 90, 95, 99, 110, 114, 165, 171, 190, 198, 209, 285, 330, 342, 418, 495, 570, 627, 855, 990, 1045, 1254, 1710, 1881, 2090, 3135, 3762, 6270, 9405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18800 and 18810. The biggest common factor number is the GCF number.
So the greatest common factor 18800 and 18810 is 10.

Also check out the Least Common Multiple of 18800 and 18810