What is the Greatest Common Factor of 82321 and 82341?

Greatest common factor (GCF) of 82321 and 82341 is 1.

GCF(82321,82341) = 1

We will now calculate the prime factors of 82321 and 82341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82321 and 82341.

How to find the GCF of 82321 and 82341?

We will first find the prime factorization of 82321 and 82341. After we will calculate the factors of 82321 and 82341 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 82341

Prime factors of 82341 are 3, 7, 1307. Prime factorization of 82341 in exponential form is:

82341 = 3² × 7¹ × 1307¹

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 82341

List of positive integer factors of 82341 that divides 82321 without a remainder.

1, 3, 7, 9, 21, 63, 1307, 3921, 9149, 11763, 27447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82321 and 82341. The biggest common factor number is the GCF number.
So the greatest common factor 82321 and 82341 is 1.

Also check out the Least Common Multiple of 82321 and 82341