What is the Greatest Common Factor of 55594 and 55613?

Greatest common factor (GCF) of 55594 and 55613 is 19.

GCF(55594,55613) = 19

We will now calculate the prime factors of 55594 and 55613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55594 and 55613.

How to find the GCF of 55594 and 55613?

We will first find the prime factorization of 55594 and 55613. After we will calculate the factors of 55594 and 55613 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55613

Prime factors of 55613 are 19, 2927. Prime factorization of 55613 in exponential form is:

55613 = 19¹ × 2927¹

Step-3: Factors of 55594

List of positive integer factors of 55594 that divides 55594 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

Step-4: Factors of 55613

List of positive integer factors of 55613 that divides 55594 without a remainder.

1, 19, 2927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55594 and 55613. The biggest common factor number is the GCF number.
So the greatest common factor 55594 and 55613 is 19.

Also check out the Least Common Multiple of 55594 and 55613