What is the Greatest Common Factor of 82323 and 82335?

Greatest common factor (GCF) of 82323 and 82335 is 3.

GCF(82323,82335) = 3

We will now calculate the prime factors of 82323 and 82335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82323 and 82335.

How to find the GCF of 82323 and 82335?

We will first find the prime factorization of 82323 and 82335. After we will calculate the factors of 82323 and 82335 and find the biggest common factor number .

Step-1: Prime Factorization of 82323

Prime factors of 82323 are 3, 3049. Prime factorization of 82323 in exponential form is:

82323 = 3³ × 3049¹

Step-2: Prime Factorization of 82335

Prime factors of 82335 are 3, 5, 11, 499. Prime factorization of 82335 in exponential form is:

82335 = 3¹ × 5¹ × 11¹ × 499¹

Step-3: Factors of 82323

List of positive integer factors of 82323 that divides 82323 without a remainder.

1, 3, 9, 27, 3049, 9147, 27441

Step-4: Factors of 82335

List of positive integer factors of 82335 that divides 82323 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 499, 1497, 2495, 5489, 7485, 16467, 27445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82323 and 82335. The biggest common factor number is the GCF number.
So the greatest common factor 82323 and 82335 is 3.

Also check out the Least Common Multiple of 82323 and 82335