What is the Greatest Common Factor of 55185 and 55198?

Greatest common factor (GCF) of 55185 and 55198 is 13.

GCF(55185,55198) = 13

We will now calculate the prime factors of 55185 and 55198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55185 and 55198.

How to find the GCF of 55185 and 55198?

We will first find the prime factorization of 55185 and 55198. After we will calculate the factors of 55185 and 55198 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 55198

Prime factors of 55198 are 2, 11, 13, 193. Prime factorization of 55198 in exponential form is:

55198 = 2¹ × 11¹ × 13¹ × 193¹

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 55198

List of positive integer factors of 55198 that divides 55185 without a remainder.

1, 2, 11, 13, 22, 26, 143, 193, 286, 386, 2123, 2509, 4246, 5018, 27599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55185 and 55198. The biggest common factor number is the GCF number.
So the greatest common factor 55185 and 55198 is 13.

Also check out the Least Common Multiple of 55185 and 55198