What is the Greatest Common Factor of 82335 and 82353?

Greatest common factor (GCF) of 82335 and 82353 is 3.

GCF(82335,82353) = 3

We will now calculate the prime factors of 82335 and 82353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82335 and 82353.

How to find the GCF of 82335 and 82353?

We will first find the prime factorization of 82335 and 82353. After we will calculate the factors of 82335 and 82353 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82353

Prime factors of 82353 are 3, 97, 283. Prime factorization of 82353 in exponential form is:

82353 = 3¹ × 97¹ × 283¹

Step-3: Factors of 82335

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

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

Step-4: Factors of 82353

List of positive integer factors of 82353 that divides 82335 without a remainder.

1, 3, 97, 283, 291, 849, 27451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82335 and 82353. The biggest common factor number is the GCF number.
So the greatest common factor 82335 and 82353 is 3.

Also check out the Least Common Multiple of 82335 and 82353