What is the Greatest Common Factor of 55305 and 55309?

Greatest common factor (GCF) of 55305 and 55309 is 1.

GCF(55305,55309) = 1

We will now calculate the prime factors of 55305 and 55309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55305 and 55309.

How to find the GCF of 55305 and 55309?

We will first find the prime factorization of 55305 and 55309. After we will calculate the factors of 55305 and 55309 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55309

Prime factors of 55309 are 19, 41, 71. Prime factorization of 55309 in exponential form is:

55309 = 19¹ × 41¹ × 71¹

Step-3: Factors of 55305

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

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

Step-4: Factors of 55309

List of positive integer factors of 55309 that divides 55305 without a remainder.

1, 19, 41, 71, 779, 1349, 2911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55305 and 55309. The biggest common factor number is the GCF number.
So the greatest common factor 55305 and 55309 is 1.

Also check out the Least Common Multiple of 55305 and 55309