What is the Greatest Common Factor of 55575 and 55594?

Greatest common factor (GCF) of 55575 and 55594 is 19.

GCF(55575,55594) = 19

We will now calculate the prime factors of 55575 and 55594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55575 and 55594.

How to find the GCF of 55575 and 55594?

We will first find the prime factorization of 55575 and 55594. After we will calculate the factors of 55575 and 55594 and find the biggest common factor number .

Step-1: Prime Factorization of 55575

Prime factors of 55575 are 3, 5, 13, 19. Prime factorization of 55575 in exponential form is:

55575 = 3² × 5² × 13¹ × 19¹

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 55575

List of positive integer factors of 55575 that divides 55575 without a remainder.

1, 3, 5, 9, 13, 15, 19, 25, 39, 45, 57, 65, 75, 95, 117, 171, 195, 225, 247, 285, 325, 475, 585, 741, 855, 975, 1235, 1425, 2223, 2925, 3705, 4275, 6175, 11115, 18525

Step-4: Factors of 55594

List of positive integer factors of 55594 that divides 55575 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 55575 and 55594. The biggest common factor number is the GCF number.
So the greatest common factor 55575 and 55594 is 19.

Also check out the Least Common Multiple of 55575 and 55594