What is the Greatest Common Factor of 18228 and 18241?

Greatest common factor (GCF) of 18228 and 18241 is 1.

GCF(18228,18241) = 1

We will now calculate the prime factors of 18228 and 18241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18228 and 18241.

How to find the GCF of 18228 and 18241?

We will first find the prime factorization of 18228 and 18241. After we will calculate the factors of 18228 and 18241 and find the biggest common factor number .

Step-1: Prime Factorization of 18228

Prime factors of 18228 are 2, 3, 7, 31. Prime factorization of 18228 in exponential form is:

18228 = 2² × 3¹ × 7² × 31¹

Step-2: Prime Factorization of 18241

Prime factors of 18241 are 17, 29, 37. Prime factorization of 18241 in exponential form is:

18241 = 17¹ × 29¹ × 37¹

Step-3: Factors of 18228

List of positive integer factors of 18228 that divides 18228 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 49, 62, 84, 93, 98, 124, 147, 186, 196, 217, 294, 372, 434, 588, 651, 868, 1302, 1519, 2604, 3038, 4557, 6076, 9114

Step-4: Factors of 18241

List of positive integer factors of 18241 that divides 18228 without a remainder.

1, 17, 29, 37, 493, 629, 1073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18228 and 18241. The biggest common factor number is the GCF number.
So the greatest common factor 18228 and 18241 is 1.

Also check out the Least Common Multiple of 18228 and 18241