What is the Greatest Common Factor of 18800 and 18806?

Greatest common factor (GCF) of 18800 and 18806 is 2.

GCF(18800,18806) = 2

We will now calculate the prime factors of 18800 and 18806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18800 and 18806.

How to find the GCF of 18800 and 18806?

We will first find the prime factorization of 18800 and 18806. After we will calculate the factors of 18800 and 18806 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 18806

Prime factors of 18806 are 2, 9403. Prime factorization of 18806 in exponential form is:

18806 = 2¹ × 9403¹

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 18806

List of positive integer factors of 18806 that divides 18800 without a remainder.

1, 2, 9403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18800 and 18806. The biggest common factor number is the GCF number.
So the greatest common factor 18800 and 18806 is 2.

Also check out the Least Common Multiple of 18800 and 18806