What is the Greatest Common Factor of 82329 and 82342?

Greatest common factor (GCF) of 82329 and 82342 is 13.

GCF(82329,82342) = 13

We will now calculate the prime factors of 82329 and 82342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82329 and 82342.

How to find the GCF of 82329 and 82342?

We will first find the prime factorization of 82329 and 82342. After we will calculate the factors of 82329 and 82342 and find the biggest common factor number .

Step-1: Prime Factorization of 82329

Prime factors of 82329 are 3, 13, 2111. Prime factorization of 82329 in exponential form is:

82329 = 3¹ × 13¹ × 2111¹

Step-2: Prime Factorization of 82342

Prime factors of 82342 are 2, 13, 3167. Prime factorization of 82342 in exponential form is:

82342 = 2¹ × 13¹ × 3167¹

Step-3: Factors of 82329

List of positive integer factors of 82329 that divides 82329 without a remainder.

1, 3, 13, 39, 2111, 6333, 27443

Step-4: Factors of 82342

List of positive integer factors of 82342 that divides 82329 without a remainder.

1, 2, 13, 26, 3167, 6334, 41171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82329 and 82342. The biggest common factor number is the GCF number.
So the greatest common factor 82329 and 82342 is 13.

Also check out the Least Common Multiple of 82329 and 82342