What is the Greatest Common Factor of 18200 and 18216?

Greatest common factor (GCF) of 18200 and 18216 is 8.

GCF(18200,18216) = 8

We will now calculate the prime factors of 18200 and 18216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18200 and 18216.

How to find the GCF of 18200 and 18216?

We will first find the prime factorization of 18200 and 18216. After we will calculate the factors of 18200 and 18216 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 18216

Prime factors of 18216 are 2, 3, 11, 23. Prime factorization of 18216 in exponential form is:

18216 = 2³ × 3² × 11¹ × 23¹

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 18216

List of positive integer factors of 18216 that divides 18200 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 23, 24, 33, 36, 44, 46, 66, 69, 72, 88, 92, 99, 132, 138, 184, 198, 207, 253, 264, 276, 396, 414, 506, 552, 759, 792, 828, 1012, 1518, 1656, 2024, 2277, 3036, 4554, 6072, 9108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18200 and 18216. The biggest common factor number is the GCF number.
So the greatest common factor 18200 and 18216 is 8.

Also check out the Least Common Multiple of 18200 and 18216