What is the Greatest Common Factor of 55588 and 55601?

Greatest common factor (GCF) of 55588 and 55601 is 13.

GCF(55588,55601) = 13

We will now calculate the prime factors of 55588 and 55601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55588 and 55601.

How to find the GCF of 55588 and 55601?

We will first find the prime factorization of 55588 and 55601. After we will calculate the factors of 55588 and 55601 and find the biggest common factor number .

Step-1: Prime Factorization of 55588

Prime factors of 55588 are 2, 13, 1069. Prime factorization of 55588 in exponential form is:

55588 = 2² × 13¹ × 1069¹

Step-2: Prime Factorization of 55601

Prime factors of 55601 are 7, 13, 47. Prime factorization of 55601 in exponential form is:

55601 = 7¹ × 13² × 47¹

Step-3: Factors of 55588

List of positive integer factors of 55588 that divides 55588 without a remainder.

1, 2, 4, 13, 26, 52, 1069, 2138, 4276, 13897, 27794

Step-4: Factors of 55601

List of positive integer factors of 55601 that divides 55588 without a remainder.

1, 7, 13, 47, 91, 169, 329, 611, 1183, 4277, 7943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55588 and 55601. The biggest common factor number is the GCF number.
So the greatest common factor 55588 and 55601 is 13.

Also check out the Least Common Multiple of 55588 and 55601