What is the Greatest Common Factor of 5586 and 5599?

Greatest common factor (GCF) of 5586 and 5599 is 1.

GCF(5586,5599) = 1

We will now calculate the prime factors of 5586 and 5599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5586 and 5599.

How to find the GCF of 5586 and 5599?

We will first find the prime factorization of 5586 and 5599. After we will calculate the factors of 5586 and 5599 and find the biggest common factor number .

Step-1: Prime Factorization of 5586

Prime factors of 5586 are 2, 3, 7, 19. Prime factorization of 5586 in exponential form is:

5586 = 2¹ × 3¹ × 7² × 19¹

Step-2: Prime Factorization of 5599

Prime factors of 5599 are 11, 509. Prime factorization of 5599 in exponential form is:

5599 = 11¹ × 509¹

Step-3: Factors of 5586

List of positive integer factors of 5586 that divides 5586 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793

Step-4: Factors of 5599

List of positive integer factors of 5599 that divides 5586 without a remainder.

1, 11, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5586 and 5599. The biggest common factor number is the GCF number.
So the greatest common factor 5586 and 5599 is 1.

Also check out the Least Common Multiple of 5586 and 5599