What is the Greatest Common Factor of 18785 and 18800?

Greatest common factor (GCF) of 18785 and 18800 is 5.

GCF(18785,18800) = 5

We will now calculate the prime factors of 18785 and 18800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18785 and 18800.

How to find the GCF of 18785 and 18800?

We will first find the prime factorization of 18785 and 18800. After we will calculate the factors of 18785 and 18800 and find the biggest common factor number .

Step-1: Prime Factorization of 18785

Prime factors of 18785 are 5, 13, 17. Prime factorization of 18785 in exponential form is:

18785 = 5¹ × 13¹ × 17²

Step-2: 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-3: Factors of 18785

List of positive integer factors of 18785 that divides 18785 without a remainder.

1, 5, 13, 17, 65, 85, 221, 289, 1105, 1445, 3757

Step-4: Factors of 18800

List of positive integer factors of 18800 that divides 18785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18785 and 18800. The biggest common factor number is the GCF number.
So the greatest common factor 18785 and 18800 is 5.

Also check out the Least Common Multiple of 18785 and 18800