What is the Greatest Common Factor of 55170 and 55185?

Greatest common factor (GCF) of 55170 and 55185 is 15.

GCF(55170,55185) = 15

We will now calculate the prime factors of 55170 and 55185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55170 and 55185.

How to find the GCF of 55170 and 55185?

We will first find the prime factorization of 55170 and 55185. After we will calculate the factors of 55170 and 55185 and find the biggest common factor number .

Step-1: Prime Factorization of 55170

Prime factors of 55170 are 2, 3, 5, 613. Prime factorization of 55170 in exponential form is:

55170 = 2¹ × 3² × 5¹ × 613¹

Step-2: 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-3: Factors of 55170

List of positive integer factors of 55170 that divides 55170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 613, 1226, 1839, 3065, 3678, 5517, 6130, 9195, 11034, 18390, 27585

Step-4: Factors of 55185

List of positive integer factors of 55185 that divides 55170 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55170 and 55185. The biggest common factor number is the GCF number.
So the greatest common factor 55170 and 55185 is 15.

Also check out the Least Common Multiple of 55170 and 55185