What is the Greatest Common Factor of 55305 and 55322?

Greatest common factor (GCF) of 55305 and 55322 is 1.

GCF(55305,55322) = 1

We will now calculate the prime factors of 55305 and 55322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55305 and 55322.

How to find the GCF of 55305 and 55322?

We will first find the prime factorization of 55305 and 55322. After we will calculate the factors of 55305 and 55322 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 55322

Prime factors of 55322 are 2, 139, 199. Prime factorization of 55322 in exponential form is:

55322 = 2¹ × 139¹ × 199¹

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 55322

List of positive integer factors of 55322 that divides 55305 without a remainder.

1, 2, 139, 199, 278, 398, 27661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55305 and 55322. The biggest common factor number is the GCF number.
So the greatest common factor 55305 and 55322 is 1.

Also check out the Least Common Multiple of 55305 and 55322