What is the Greatest Common Factor of 11586 and 11593?

Greatest common factor (GCF) of 11586 and 11593 is 1.

GCF(11586,11593) = 1

We will now calculate the prime factors of 11586 and 11593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11586 and 11593.

How to find the GCF of 11586 and 11593?

We will first find the prime factorization of 11586 and 11593. After we will calculate the factors of 11586 and 11593 and find the biggest common factor number .

Step-1: Prime Factorization of 11586

Prime factors of 11586 are 2, 3, 1931. Prime factorization of 11586 in exponential form is:

11586 = 2¹ × 3¹ × 1931¹

Step-2: Prime Factorization of 11593

Prime factors of 11593 are 11593. Prime factorization of 11593 in exponential form is:

11593 = 11593¹

Step-3: Factors of 11586

List of positive integer factors of 11586 that divides 11586 without a remainder.

1, 2, 3, 6, 1931, 3862, 5793

Step-4: Factors of 11593

List of positive integer factors of 11593 that divides 11586 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11586 and 11593. The biggest common factor number is the GCF number.
So the greatest common factor 11586 and 11593 is 1.

Also check out the Least Common Multiple of 11586 and 11593