What is the Greatest Common Factor of 55594 and 55612?

Greatest common factor (GCF) of 55594 and 55612 is 2.

GCF(55594,55612) = 2

We will now calculate the prime factors of 55594 and 55612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55594 and 55612.

How to find the GCF of 55594 and 55612?

We will first find the prime factorization of 55594 and 55612. After we will calculate the factors of 55594 and 55612 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 55612

Prime factors of 55612 are 2, 13903. Prime factorization of 55612 in exponential form is:

55612 = 2² × 13903¹

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 55612

List of positive integer factors of 55612 that divides 55594 without a remainder.

1, 2, 4, 13903, 27806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55594 and 55612. The biggest common factor number is the GCF number.
So the greatest common factor 55594 and 55612 is 2.

Also check out the Least Common Multiple of 55594 and 55612