What is the Greatest Common Factor of 82329 and 82347?

Greatest common factor (GCF) of 82329 and 82347 is 3.

GCF(82329,82347) = 3

We will now calculate the prime factors of 82329 and 82347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82329 and 82347.

How to find the GCF of 82329 and 82347?

We will first find the prime factorization of 82329 and 82347. After we will calculate the factors of 82329 and 82347 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 82347

Prime factors of 82347 are 3, 27449. Prime factorization of 82347 in exponential form is:

82347 = 3¹ × 27449¹

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 82347

List of positive integer factors of 82347 that divides 82329 without a remainder.

1, 3, 27449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82329 and 82347. The biggest common factor number is the GCF number.
So the greatest common factor 82329 and 82347 is 3.

Also check out the Least Common Multiple of 82329 and 82347