What is the Greatest Common Factor of 55587 and 55594?

Greatest common factor (GCF) of 55587 and 55594 is 7.

GCF(55587,55594) = 7

We will now calculate the prime factors of 55587 and 55594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55587 and 55594.

How to find the GCF of 55587 and 55594?

We will first find the prime factorization of 55587 and 55594. After we will calculate the factors of 55587 and 55594 and find the biggest common factor number .

Step-1: Prime Factorization of 55587

Prime factors of 55587 are 3, 7, 2647. Prime factorization of 55587 in exponential form is:

55587 = 3¹ × 7¹ × 2647¹

Step-2: Prime Factorization of 55594

Prime factors of 55594 are 2, 7, 11, 19. Prime factorization of 55594 in exponential form is:

55594 = 2¹ × 7¹ × 11¹ × 19²

Step-3: Factors of 55587

List of positive integer factors of 55587 that divides 55587 without a remainder.

1, 3, 7, 21, 2647, 7941, 18529

Step-4: Factors of 55594

List of positive integer factors of 55594 that divides 55587 without a remainder.

1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 361, 418, 722, 1463, 2527, 2926, 3971, 5054, 7942, 27797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55587 and 55594. The biggest common factor number is the GCF number.
So the greatest common factor 55587 and 55594 is 7.

Also check out the Least Common Multiple of 55587 and 55594