What is the Greatest Common Factor of 82317 and 82332?

Greatest common factor (GCF) of 82317 and 82332 is 3.

GCF(82317,82332) = 3

We will now calculate the prime factors of 82317 and 82332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82317 and 82332.

How to find the GCF of 82317 and 82332?

We will first find the prime factorization of 82317 and 82332. After we will calculate the factors of 82317 and 82332 and find the biggest common factor number .

Step-1: Prime Factorization of 82317

Prime factors of 82317 are 3, 23, 1193. Prime factorization of 82317 in exponential form is:

82317 = 3¹ × 23¹ × 1193¹

Step-2: Prime Factorization of 82332

Prime factors of 82332 are 2, 3, 2287. Prime factorization of 82332 in exponential form is:

82332 = 2² × 3² × 2287¹

Step-3: Factors of 82317

List of positive integer factors of 82317 that divides 82317 without a remainder.

1, 3, 23, 69, 1193, 3579, 27439

Step-4: Factors of 82332

List of positive integer factors of 82332 that divides 82317 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2287, 4574, 6861, 9148, 13722, 20583, 27444, 41166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82317 and 82332. The biggest common factor number is the GCF number.
So the greatest common factor 82317 and 82332 is 3.

Also check out the Least Common Multiple of 82317 and 82332