What is the Greatest Common Factor of 82378 and 82396?

Greatest common factor (GCF) of 82378 and 82396 is 2.

GCF(82378,82396) = 2

We will now calculate the prime factors of 82378 and 82396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82378 and 82396.

How to find the GCF of 82378 and 82396?

We will first find the prime factorization of 82378 and 82396. After we will calculate the factors of 82378 and 82396 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 82396

Prime factors of 82396 are 2, 20599. Prime factorization of 82396 in exponential form is:

82396 = 2² × 20599¹

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 82396

List of positive integer factors of 82396 that divides 82378 without a remainder.

1, 2, 4, 20599, 41198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82378 and 82396. The biggest common factor number is the GCF number.
So the greatest common factor 82378 and 82396 is 2.

Also check out the Least Common Multiple of 82378 and 82396