What is the Greatest Common Factor of 17238 and 17243?

Greatest common factor (GCF) of 17238 and 17243 is 1.

GCF(17238,17243) = 1

We will now calculate the prime factors of 17238 and 17243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17238 and 17243.

How to find the GCF of 17238 and 17243?

We will first find the prime factorization of 17238 and 17243. After we will calculate the factors of 17238 and 17243 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 17243

Prime factors of 17243 are 43, 401. Prime factorization of 17243 in exponential form is:

17243 = 43¹ × 401¹

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 17243

List of positive integer factors of 17243 that divides 17238 without a remainder.

1, 43, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17238 and 17243. The biggest common factor number is the GCF number.
So the greatest common factor 17238 and 17243 is 1.

Also check out the Least Common Multiple of 17238 and 17243