What is the Greatest Common Factor of 82378 and 82382?

Greatest common factor (GCF) of 82378 and 82382 is 2.

GCF(82378,82382) = 2

We will now calculate the prime factors of 82378 and 82382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82378 and 82382.

How to find the GCF of 82378 and 82382?

We will first find the prime factorization of 82378 and 82382. After we will calculate the factors of 82378 and 82382 and find the biggest common factor number .

Step-1: Prime Factorization of 82378

Prime factors of 82378 are 2, 41189. Prime factorization of 82378 in exponential form is:

82378 = 2¹ × 41189¹

Step-2: 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-3: Factors of 82378

List of positive integer factors of 82378 that divides 82378 without a remainder.

1, 2, 41189

Step-4: Factors of 82382

List of positive integer factors of 82382 that divides 82378 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82378 and 82382. The biggest common factor number is the GCF number.
So the greatest common factor 82378 and 82382 is 2.

Also check out the Least Common Multiple of 82378 and 82382