What is the Greatest Common Factor of 55594 and 55598?

Greatest common factor (GCF) of 55594 and 55598 is 2.

GCF(55594,55598) = 2

We will now calculate the prime factors of 55594 and 55598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55594 and 55598.

How to find the GCF of 55594 and 55598?

We will first find the prime factorization of 55594 and 55598. After we will calculate the factors of 55594 and 55598 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 55598

Prime factors of 55598 are 2, 27799. Prime factorization of 55598 in exponential form is:

55598 = 2¹ × 27799¹

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 55598

List of positive integer factors of 55598 that divides 55594 without a remainder.

1, 2, 27799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55594 and 55598. The biggest common factor number is the GCF number.
So the greatest common factor 55594 and 55598 is 2.

Also check out the Least Common Multiple of 55594 and 55598