What is the Greatest Common Factor of 18241 and 18249?

Greatest common factor (GCF) of 18241 and 18249 is 1.

GCF(18241,18249) = 1

We will now calculate the prime factors of 18241 and 18249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18241 and 18249.

How to find the GCF of 18241 and 18249?

We will first find the prime factorization of 18241 and 18249. After we will calculate the factors of 18241 and 18249 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18249

Prime factors of 18249 are 3, 7, 11, 79. Prime factorization of 18249 in exponential form is:

18249 = 3¹ × 7¹ × 11¹ × 79¹

Step-3: Factors of 18241

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

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

Step-4: Factors of 18249

List of positive integer factors of 18249 that divides 18241 without a remainder.

1, 3, 7, 11, 21, 33, 77, 79, 231, 237, 553, 869, 1659, 2607, 6083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18241 and 18249. The biggest common factor number is the GCF number.
So the greatest common factor 18241 and 18249 is 1.

Also check out the Least Common Multiple of 18241 and 18249