What is the Greatest Common Factor of 82309 and 82315?

Greatest common factor (GCF) of 82309 and 82315 is 1.

GCF(82309,82315) = 1

We will now calculate the prime factors of 82309 and 82315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82309 and 82315.

How to find the GCF of 82309 and 82315?

We will first find the prime factorization of 82309 and 82315. After we will calculate the factors of 82309 and 82315 and find the biggest common factor number .

Step-1: Prime Factorization of 82309

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

82309 = 53¹ × 1553¹

Step-2: Prime Factorization of 82315

Prime factors of 82315 are 5, 101, 163. Prime factorization of 82315 in exponential form is:

82315 = 5¹ × 101¹ × 163¹

Step-3: Factors of 82309

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

1, 53, 1553

Step-4: Factors of 82315

List of positive integer factors of 82315 that divides 82309 without a remainder.

1, 5, 101, 163, 505, 815, 16463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82309 and 82315. The biggest common factor number is the GCF number.
So the greatest common factor 82309 and 82315 is 1.

Also check out the Least Common Multiple of 82309 and 82315