What is the Greatest Common Factor of 5586 and 5604?

Greatest common factor (GCF) of 5586 and 5604 is 6.

GCF(5586,5604) = 6

We will now calculate the prime factors of 5586 and 5604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5586 and 5604.

How to find the GCF of 5586 and 5604?

We will first find the prime factorization of 5586 and 5604. After we will calculate the factors of 5586 and 5604 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 5604

Prime factors of 5604 are 2, 3, 467. Prime factorization of 5604 in exponential form is:

5604 = 2² × 3¹ × 467¹

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 5604

List of positive integer factors of 5604 that divides 5586 without a remainder.

1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5586 and 5604. The biggest common factor number is the GCF number.
So the greatest common factor 5586 and 5604 is 6.

Also check out the Least Common Multiple of 5586 and 5604