What is the Greatest Common Factor of 17238 and 17253?

Greatest common factor (GCF) of 17238 and 17253 is 3.

GCF(17238,17253) = 3

We will now calculate the prime factors of 17238 and 17253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17238 and 17253.

How to find the GCF of 17238 and 17253?

We will first find the prime factorization of 17238 and 17253. After we will calculate the factors of 17238 and 17253 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 17253

Prime factors of 17253 are 3, 71. Prime factorization of 17253 in exponential form is:

17253 = 3⁵ × 71¹

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 17253

List of positive integer factors of 17253 that divides 17238 without a remainder.

1, 3, 9, 27, 71, 81, 213, 243, 639, 1917, 5751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17238 and 17253. The biggest common factor number is the GCF number.
So the greatest common factor 17238 and 17253 is 3.

Also check out the Least Common Multiple of 17238 and 17253