What is the Greatest Common Factor of 55185 and 55201?

Greatest common factor (GCF) of 55185 and 55201 is 1.

GCF(55185,55201) = 1

We will now calculate the prime factors of 55185 and 55201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55185 and 55201.

How to find the GCF of 55185 and 55201?

We will first find the prime factorization of 55185 and 55201. After we will calculate the factors of 55185 and 55201 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 55201

Prime factors of 55201 are 55201. Prime factorization of 55201 in exponential form is:

55201 = 55201¹

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 55201

List of positive integer factors of 55201 that divides 55185 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55185 and 55201. The biggest common factor number is the GCF number.
So the greatest common factor 55185 and 55201 is 1.

Also check out the Least Common Multiple of 55185 and 55201