What is the Greatest Common Factor of 18224 and 18241?

Greatest common factor (GCF) of 18224 and 18241 is 17.

GCF(18224,18241) = 17

We will now calculate the prime factors of 18224 and 18241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18224 and 18241.

How to find the GCF of 18224 and 18241?

We will first find the prime factorization of 18224 and 18241. After we will calculate the factors of 18224 and 18241 and find the biggest common factor number .

Step-1: Prime Factorization of 18224

Prime factors of 18224 are 2, 17, 67. Prime factorization of 18224 in exponential form is:

18224 = 2⁴ × 17¹ × 67¹

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 18224

List of positive integer factors of 18224 that divides 18224 without a remainder.

1, 2, 4, 8, 16, 17, 34, 67, 68, 134, 136, 268, 272, 536, 1072, 1139, 2278, 4556, 9112

Step-4: Factors of 18241

List of positive integer factors of 18241 that divides 18224 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18224 and 18241. The biggest common factor number is the GCF number.
So the greatest common factor 18224 and 18241 is 17.

Also check out the Least Common Multiple of 18224 and 18241