What is the Greatest Common Factor of 55605 and 55611?

Greatest common factor (GCF) of 55605 and 55611 is 3.

GCF(55605,55611) = 3

We will now calculate the prime factors of 55605 and 55611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55605 and 55611.

How to find the GCF of 55605 and 55611?

We will first find the prime factorization of 55605 and 55611. After we will calculate the factors of 55605 and 55611 and find the biggest common factor number .

Step-1: Prime Factorization of 55605

Prime factors of 55605 are 3, 5, 11, 337. Prime factorization of 55605 in exponential form is:

55605 = 3¹ × 5¹ × 11¹ × 337¹

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 55605

List of positive integer factors of 55605 that divides 55605 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 337, 1011, 1685, 3707, 5055, 11121, 18535

Step-4: Factors of 55611

List of positive integer factors of 55611 that divides 55605 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 55605 and 55611. The biggest common factor number is the GCF number.
So the greatest common factor 55605 and 55611 is 3.

Also check out the Least Common Multiple of 55605 and 55611