What is the Greatest Common Factor of 55599 and 55611?

Greatest common factor (GCF) of 55599 and 55611 is 3.

GCF(55599,55611) = 3

We will now calculate the prime factors of 55599 and 55611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55599 and 55611.

How to find the GCF of 55599 and 55611?

We will first find the prime factorization of 55599 and 55611. After we will calculate the factors of 55599 and 55611 and find the biggest common factor number .

Step-1: Prime Factorization of 55599

Prime factors of 55599 are 3, 43, 431. Prime factorization of 55599 in exponential form is:

55599 = 3¹ × 43¹ × 431¹

Step-2: Prime Factorization of 55611

Prime factors of 55611 are 3, 37, 167. Prime factorization of 55611 in exponential form is:

55611 = 3² × 37¹ × 167¹

Step-3: Factors of 55599

List of positive integer factors of 55599 that divides 55599 without a remainder.

1, 3, 43, 129, 431, 1293, 18533

Step-4: Factors of 55611

List of positive integer factors of 55611 that divides 55599 without a remainder.

1, 3, 9, 37, 111, 167, 333, 501, 1503, 6179, 18537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55599 and 55611. The biggest common factor number is the GCF number.
So the greatest common factor 55599 and 55611 is 3.

Also check out the Least Common Multiple of 55599 and 55611