What is the Greatest Common Factor of 55185 and 55195?

Greatest common factor (GCF) of 55185 and 55195 is 5.

GCF(55185,55195) = 5

We will now calculate the prime factors of 55185 and 55195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55185 and 55195.

How to find the GCF of 55185 and 55195?

We will first find the prime factorization of 55185 and 55195. After we will calculate the factors of 55185 and 55195 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 55195

Prime factors of 55195 are 5, 7, 19, 83. Prime factorization of 55195 in exponential form is:

55195 = 5¹ × 7¹ × 19¹ × 83¹

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 55195

List of positive integer factors of 55195 that divides 55185 without a remainder.

1, 5, 7, 19, 35, 83, 95, 133, 415, 581, 665, 1577, 2905, 7885, 11039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55185 and 55195. The biggest common factor number is the GCF number.
So the greatest common factor 55185 and 55195 is 5.

Also check out the Least Common Multiple of 55185 and 55195