What is the Greatest Common Factor of 82382 and 82394?

Greatest common factor (GCF) of 82382 and 82394 is 2.

GCF(82382,82394) = 2

We will now calculate the prime factors of 82382 and 82394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82382 and 82394.

How to find the GCF of 82382 and 82394?

We will first find the prime factorization of 82382 and 82394. After we will calculate the factors of 82382 and 82394 and find the biggest common factor number .

Step-1: Prime Factorization of 82382

Prime factors of 82382 are 2, 17, 2423. Prime factorization of 82382 in exponential form is:

82382 = 2¹ × 17¹ × 2423¹

Step-2: Prime Factorization of 82394

Prime factors of 82394 are 2, 13, 3169. Prime factorization of 82394 in exponential form is:

82394 = 2¹ × 13¹ × 3169¹

Step-3: Factors of 82382

List of positive integer factors of 82382 that divides 82382 without a remainder.

1, 2, 17, 34, 2423, 4846, 41191

Step-4: Factors of 82394

List of positive integer factors of 82394 that divides 82382 without a remainder.

1, 2, 13, 26, 3169, 6338, 41197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82382 and 82394. The biggest common factor number is the GCF number.
So the greatest common factor 82382 and 82394 is 2.

Also check out the Least Common Multiple of 82382 and 82394