What is the Greatest Common Factor of 18200 and 18213?

Greatest common factor (GCF) of 18200 and 18213 is 13.

GCF(18200,18213) = 13

We will now calculate the prime factors of 18200 and 18213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18200 and 18213.

How to find the GCF of 18200 and 18213?

We will first find the prime factorization of 18200 and 18213. After we will calculate the factors of 18200 and 18213 and find the biggest common factor number .

Step-1: Prime Factorization of 18200

Prime factors of 18200 are 2, 5, 7, 13. Prime factorization of 18200 in exponential form is:

18200 = 2³ × 5² × 7¹ × 13¹

Step-2: Prime Factorization of 18213

Prime factors of 18213 are 3, 13, 467. Prime factorization of 18213 in exponential form is:

18213 = 3¹ × 13¹ × 467¹

Step-3: Factors of 18200

List of positive integer factors of 18200 that divides 18200 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 25, 26, 28, 35, 40, 50, 52, 56, 65, 70, 91, 100, 104, 130, 140, 175, 182, 200, 260, 280, 325, 350, 364, 455, 520, 650, 700, 728, 910, 1300, 1400, 1820, 2275, 2600, 3640, 4550, 9100

Step-4: Factors of 18213

List of positive integer factors of 18213 that divides 18200 without a remainder.

1, 3, 13, 39, 467, 1401, 6071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18200 and 18213. The biggest common factor number is the GCF number.
So the greatest common factor 18200 and 18213 is 13.

Also check out the Least Common Multiple of 18200 and 18213