What is the Greatest Common Factor of 17238 and 17249?

Greatest common factor (GCF) of 17238 and 17249 is 1.

GCF(17238,17249) = 1

We will now calculate the prime factors of 17238 and 17249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17238 and 17249.

How to find the GCF of 17238 and 17249?

We will first find the prime factorization of 17238 and 17249. After we will calculate the factors of 17238 and 17249 and find the biggest common factor number .

Step-1: Prime Factorization of 17238

Prime factors of 17238 are 2, 3, 13, 17. Prime factorization of 17238 in exponential form is:

17238 = 2¹ × 3¹ × 13² × 17¹

Step-2: Prime Factorization of 17249

Prime factors of 17249 are 47, 367. Prime factorization of 17249 in exponential form is:

17249 = 47¹ × 367¹

Step-3: Factors of 17238

List of positive integer factors of 17238 that divides 17238 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 169, 221, 338, 442, 507, 663, 1014, 1326, 2873, 5746, 8619

Step-4: Factors of 17249

List of positive integer factors of 17249 that divides 17238 without a remainder.

1, 47, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17238 and 17249. The biggest common factor number is the GCF number.
So the greatest common factor 17238 and 17249 is 1.

Also check out the Least Common Multiple of 17238 and 17249