What is the Greatest Common Factor of 5586 and 5605?

Greatest common factor (GCF) of 5586 and 5605 is 19.

GCF(5586,5605) = 19

We will now calculate the prime factors of 5586 and 5605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5586 and 5605.

How to find the GCF of 5586 and 5605?

We will first find the prime factorization of 5586 and 5605. After we will calculate the factors of 5586 and 5605 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 5605

Prime factors of 5605 are 5, 19, 59. Prime factorization of 5605 in exponential form is:

5605 = 5¹ × 19¹ × 59¹

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 5605

List of positive integer factors of 5605 that divides 5586 without a remainder.

1, 5, 19, 59, 95, 295, 1121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5586 and 5605. The biggest common factor number is the GCF number.
So the greatest common factor 5586 and 5605 is 19.

Also check out the Least Common Multiple of 5586 and 5605