What is the Greatest Common Factor of 82321 and 82340?

Greatest common factor (GCF) of 82321 and 82340 is 1.

GCF(82321,82340) = 1

We will now calculate the prime factors of 82321 and 82340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82321 and 82340.

How to find the GCF of 82321 and 82340?

We will first find the prime factorization of 82321 and 82340. After we will calculate the factors of 82321 and 82340 and find the biggest common factor number .

Step-1: Prime Factorization of 82321

Prime factors of 82321 are 191, 431. Prime factorization of 82321 in exponential form is:

82321 = 191¹ × 431¹

Step-2: Prime Factorization of 82340

Prime factors of 82340 are 2, 5, 23, 179. Prime factorization of 82340 in exponential form is:

82340 = 2² × 5¹ × 23¹ × 179¹

Step-3: Factors of 82321

List of positive integer factors of 82321 that divides 82321 without a remainder.

1, 191, 431

Step-4: Factors of 82340

List of positive integer factors of 82340 that divides 82321 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 179, 230, 358, 460, 716, 895, 1790, 3580, 4117, 8234, 16468, 20585, 41170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82321 and 82340. The biggest common factor number is the GCF number.
So the greatest common factor 82321 and 82340 is 1.

Also check out the Least Common Multiple of 82321 and 82340