What is the Greatest Common Factor of 18222 and 18231?

Greatest common factor (GCF) of 18222 and 18231 is 3.

GCF(18222,18231) = 3

We will now calculate the prime factors of 18222 and 18231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18222 and 18231.

How to find the GCF of 18222 and 18231?

We will first find the prime factorization of 18222 and 18231. After we will calculate the factors of 18222 and 18231 and find the biggest common factor number .

Step-1: Prime Factorization of 18222

Prime factors of 18222 are 2, 3, 3037. Prime factorization of 18222 in exponential form is:

18222 = 2¹ × 3¹ × 3037¹

Step-2: Prime Factorization of 18231

Prime factors of 18231 are 3, 59, 103. Prime factorization of 18231 in exponential form is:

18231 = 3¹ × 59¹ × 103¹

Step-3: Factors of 18222

List of positive integer factors of 18222 that divides 18222 without a remainder.

1, 2, 3, 6, 3037, 6074, 9111

Step-4: Factors of 18231

List of positive integer factors of 18231 that divides 18222 without a remainder.

1, 3, 59, 103, 177, 309, 6077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18222 and 18231. The biggest common factor number is the GCF number.
So the greatest common factor 18222 and 18231 is 3.

Also check out the Least Common Multiple of 18222 and 18231