What is the Greatest Common Factor of 17238 and 17258?

Greatest common factor (GCF) of 17238 and 17258 is 2.

GCF(17238,17258) = 2

We will now calculate the prime factors of 17238 and 17258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17238 and 17258.

How to find the GCF of 17238 and 17258?

We will first find the prime factorization of 17238 and 17258. After we will calculate the factors of 17238 and 17258 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 17258

Prime factors of 17258 are 2, 8629. Prime factorization of 17258 in exponential form is:

17258 = 2¹ × 8629¹

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 17258

List of positive integer factors of 17258 that divides 17238 without a remainder.

1, 2, 8629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17238 and 17258. The biggest common factor number is the GCF number.
So the greatest common factor 17238 and 17258 is 2.

Also check out the Least Common Multiple of 17238 and 17258