What is the Greatest Common Factor of 55599 and 55617?

Greatest common factor (GCF) of 55599 and 55617 is 3.

GCF(55599,55617) = 3

We will now calculate the prime factors of 55599 and 55617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55599 and 55617.

How to find the GCF of 55599 and 55617?

We will first find the prime factorization of 55599 and 55617. After we will calculate the factors of 55599 and 55617 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 55617

Prime factors of 55617 are 3, 18539. Prime factorization of 55617 in exponential form is:

55617 = 3¹ × 18539¹

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 55617

List of positive integer factors of 55617 that divides 55599 without a remainder.

1, 3, 18539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55599 and 55617. The biggest common factor number is the GCF number.
So the greatest common factor 55599 and 55617 is 3.

Also check out the Least Common Multiple of 55599 and 55617