What is the Greatest Common Factor of 82305 and 82309?

Greatest common factor (GCF) of 82305 and 82309 is 1.

GCF(82305,82309) = 1

We will now calculate the prime factors of 82305 and 82309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82305 and 82309.

How to find the GCF of 82305 and 82309?

We will first find the prime factorization of 82305 and 82309. After we will calculate the factors of 82305 and 82309 and find the biggest common factor number .

Step-1: Prime Factorization of 82305

Prime factors of 82305 are 3, 5, 31, 59. Prime factorization of 82305 in exponential form is:

82305 = 3² × 5¹ × 31¹ × 59¹

Step-2: Prime Factorization of 82309

Prime factors of 82309 are 53, 1553. Prime factorization of 82309 in exponential form is:

82309 = 53¹ × 1553¹

Step-3: Factors of 82305

List of positive integer factors of 82305 that divides 82305 without a remainder.

1, 3, 5, 9, 15, 31, 45, 59, 93, 155, 177, 279, 295, 465, 531, 885, 1395, 1829, 2655, 5487, 9145, 16461, 27435

Step-4: Factors of 82309

List of positive integer factors of 82309 that divides 82305 without a remainder.

1, 53, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82305 and 82309. The biggest common factor number is the GCF number.
So the greatest common factor 82305 and 82309 is 1.

Also check out the Least Common Multiple of 82305 and 82309