What is the Greatest Common Factor of 11275 and 11293?

Greatest common factor (GCF) of 11275 and 11293 is 1.

GCF(11275,11293) = 1

We will now calculate the prime factors of 11275 and 11293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11275 and 11293.

How to find the GCF of 11275 and 11293?

We will first find the prime factorization of 11275 and 11293. After we will calculate the factors of 11275 and 11293 and find the biggest common factor number .

Step-1: Prime Factorization of 11275

Prime factors of 11275 are 5, 11, 41. Prime factorization of 11275 in exponential form is:

11275 = 5² × 11¹ × 41¹

Step-2: Prime Factorization of 11293

Prime factors of 11293 are 23, 491. Prime factorization of 11293 in exponential form is:

11293 = 23¹ × 491¹

Step-3: Factors of 11275

List of positive integer factors of 11275 that divides 11275 without a remainder.

1, 5, 11, 25, 41, 55, 205, 275, 451, 1025, 2255

Step-4: Factors of 11293

List of positive integer factors of 11293 that divides 11275 without a remainder.

1, 23, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11275 and 11293. The biggest common factor number is the GCF number.
So the greatest common factor 11275 and 11293 is 1.

Also check out the Least Common Multiple of 11275 and 11293