What is the Greatest Common Factor of 55185 and 55191?

Greatest common factor (GCF) of 55185 and 55191 is 3.

GCF(55185,55191) = 3

We will now calculate the prime factors of 55185 and 55191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55185 and 55191.

How to find the GCF of 55185 and 55191?

We will first find the prime factorization of 55185 and 55191. After we will calculate the factors of 55185 and 55191 and find the biggest common factor number .

Step-1: Prime Factorization of 55185

Prime factors of 55185 are 3, 5, 13, 283. Prime factorization of 55185 in exponential form is:

55185 = 3¹ × 5¹ × 13¹ × 283¹

Step-2: Prime Factorization of 55191

Prime factors of 55191 are 3, 18397. Prime factorization of 55191 in exponential form is:

55191 = 3¹ × 18397¹

Step-3: Factors of 55185

List of positive integer factors of 55185 that divides 55185 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 283, 849, 1415, 3679, 4245, 11037, 18395

Step-4: Factors of 55191

List of positive integer factors of 55191 that divides 55185 without a remainder.

1, 3, 18397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55185 and 55191. The biggest common factor number is the GCF number.
So the greatest common factor 55185 and 55191 is 3.

Also check out the Least Common Multiple of 55185 and 55191