What is the Greatest Common Factor of 11258 and 11271?

Greatest common factor (GCF) of 11258 and 11271 is 13.

GCF(11258,11271) = 13

We will now calculate the prime factors of 11258 and 11271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11258 and 11271.

How to find the GCF of 11258 and 11271?

We will first find the prime factorization of 11258 and 11271. After we will calculate the factors of 11258 and 11271 and find the biggest common factor number .

Step-1: Prime Factorization of 11258

Prime factors of 11258 are 2, 13, 433. Prime factorization of 11258 in exponential form is:

11258 = 2¹ × 13¹ × 433¹

Step-2: Prime Factorization of 11271

Prime factors of 11271 are 3, 13, 17. Prime factorization of 11271 in exponential form is:

11271 = 3¹ × 13¹ × 17²

Step-3: Factors of 11258

List of positive integer factors of 11258 that divides 11258 without a remainder.

1, 2, 13, 26, 433, 866, 5629

Step-4: Factors of 11271

List of positive integer factors of 11271 that divides 11258 without a remainder.

1, 3, 13, 17, 39, 51, 221, 289, 663, 867, 3757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11258 and 11271. The biggest common factor number is the GCF number.
So the greatest common factor 11258 and 11271 is 13.

Also check out the Least Common Multiple of 11258 and 11271