What is the Greatest Common Factor of 55305 and 55323?

Greatest common factor (GCF) of 55305 and 55323 is 9.

GCF(55305,55323) = 9

We will now calculate the prime factors of 55305 and 55323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55305 and 55323.

How to find the GCF of 55305 and 55323?

We will first find the prime factorization of 55305 and 55323. After we will calculate the factors of 55305 and 55323 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 55323

Prime factors of 55323 are 3, 683. Prime factorization of 55323 in exponential form is:

55323 = 3⁴ × 683¹

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 55323

List of positive integer factors of 55323 that divides 55305 without a remainder.

1, 3, 9, 27, 81, 683, 2049, 6147, 18441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55305 and 55323. The biggest common factor number is the GCF number.
So the greatest common factor 55305 and 55323 is 9.

Also check out the Least Common Multiple of 55305 and 55323