What is the Greatest Common Factor of 5586 and 5595?

Greatest common factor (GCF) of 5586 and 5595 is 3.

GCF(5586,5595) = 3

We will now calculate the prime factors of 5586 and 5595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5586 and 5595.

How to find the GCF of 5586 and 5595?

We will first find the prime factorization of 5586 and 5595. After we will calculate the factors of 5586 and 5595 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 5595

Prime factors of 5595 are 3, 5, 373. Prime factorization of 5595 in exponential form is:

5595 = 3¹ × 5¹ × 373¹

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 5595

List of positive integer factors of 5595 that divides 5586 without a remainder.

1, 3, 5, 15, 373, 1119, 1865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5586 and 5595. The biggest common factor number is the GCF number.
So the greatest common factor 5586 and 5595 is 3.

Also check out the Least Common Multiple of 5586 and 5595