What is the Greatest Common Factor of 82341 and 82346?

Greatest common factor (GCF) of 82341 and 82346 is 1.

GCF(82341,82346) = 1

We will now calculate the prime factors of 82341 and 82346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82341 and 82346.

How to find the GCF of 82341 and 82346?

We will first find the prime factorization of 82341 and 82346. After we will calculate the factors of 82341 and 82346 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82346

Prime factors of 82346 are 2, 11, 19, 197. Prime factorization of 82346 in exponential form is:

82346 = 2¹ × 11¹ × 19¹ × 197¹

Step-3: Factors of 82341

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

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

Step-4: Factors of 82346

List of positive integer factors of 82346 that divides 82341 without a remainder.

1, 2, 11, 19, 22, 38, 197, 209, 394, 418, 2167, 3743, 4334, 7486, 41173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82341 and 82346. The biggest common factor number is the GCF number.
So the greatest common factor 82341 and 82346 is 1.

Also check out the Least Common Multiple of 82341 and 82346