What is the Greatest Common Factor of 18200 and 18206?

Greatest common factor (GCF) of 18200 and 18206 is 2.

GCF(18200,18206) = 2

We will now calculate the prime factors of 18200 and 18206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18200 and 18206.

How to find the GCF of 18200 and 18206?

We will first find the prime factorization of 18200 and 18206. After we will calculate the factors of 18200 and 18206 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 18206

Prime factors of 18206 are 2, 9103. Prime factorization of 18206 in exponential form is:

18206 = 2¹ × 9103¹

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 18206

List of positive integer factors of 18206 that divides 18200 without a remainder.

1, 2, 9103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18200 and 18206. The biggest common factor number is the GCF number.
So the greatest common factor 18200 and 18206 is 2.

Also check out the Least Common Multiple of 18200 and 18206