What is the Greatest Common Factor of 15587 and 15593?

Greatest common factor (GCF) of 15587 and 15593 is 1.

GCF(15587,15593) = 1

We will now calculate the prime factors of 15587 and 15593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15587 and 15593.

How to find the GCF of 15587 and 15593?

We will first find the prime factorization of 15587 and 15593. After we will calculate the factors of 15587 and 15593 and find the biggest common factor number .

Step-1: Prime Factorization of 15587

Prime factors of 15587 are 11, 13, 109. Prime factorization of 15587 in exponential form is:

15587 = 11¹ × 13¹ × 109¹

Step-2: Prime Factorization of 15593

Prime factors of 15593 are 31, 503. Prime factorization of 15593 in exponential form is:

15593 = 31¹ × 503¹

Step-3: Factors of 15587

List of positive integer factors of 15587 that divides 15587 without a remainder.

1, 11, 13, 109, 143, 1199, 1417

Step-4: Factors of 15593

List of positive integer factors of 15593 that divides 15587 without a remainder.

1, 31, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15587 and 15593. The biggest common factor number is the GCF number.
So the greatest common factor 15587 and 15593 is 1.

Also check out the Least Common Multiple of 15587 and 15593