What is the Greatest Common Factor of 18200 and 18211?

Greatest common factor (GCF) of 18200 and 18211 is 1.

GCF(18200,18211) = 1

We will now calculate the prime factors of 18200 and 18211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18200 and 18211.

How to find the GCF of 18200 and 18211?

We will first find the prime factorization of 18200 and 18211. After we will calculate the factors of 18200 and 18211 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 18211

Prime factors of 18211 are 18211. Prime factorization of 18211 in exponential form is:

18211 = 18211¹

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 18211

List of positive integer factors of 18211 that divides 18200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18200 and 18211. The biggest common factor number is the GCF number.
So the greatest common factor 18200 and 18211 is 1.

Also check out the Least Common Multiple of 18200 and 18211