What is the Greatest Common Factor of 55290 and 55305?

Greatest common factor (GCF) of 55290 and 55305 is 15.

GCF(55290,55305) = 15

We will now calculate the prime factors of 55290 and 55305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55290 and 55305.

How to find the GCF of 55290 and 55305?

We will first find the prime factorization of 55290 and 55305. After we will calculate the factors of 55290 and 55305 and find the biggest common factor number .

Step-1: Prime Factorization of 55290

Prime factors of 55290 are 2, 3, 5, 19, 97. Prime factorization of 55290 in exponential form is:

55290 = 2¹ × 3¹ × 5¹ × 19¹ × 97¹

Step-2: Prime Factorization of 55305

Prime factors of 55305 are 3, 5, 1229. Prime factorization of 55305 in exponential form is:

55305 = 3² × 5¹ × 1229¹

Step-3: Factors of 55290

List of positive integer factors of 55290 that divides 55290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 97, 114, 190, 194, 285, 291, 485, 570, 582, 970, 1455, 1843, 2910, 3686, 5529, 9215, 11058, 18430, 27645

Step-4: Factors of 55305

List of positive integer factors of 55305 that divides 55290 without a remainder.

1, 3, 5, 9, 15, 45, 1229, 3687, 6145, 11061, 18435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55290 and 55305. The biggest common factor number is the GCF number.
So the greatest common factor 55290 and 55305 is 15.

Also check out the Least Common Multiple of 55290 and 55305