What is the Greatest Common Factor of 82378 and 82385?

Greatest common factor (GCF) of 82378 and 82385 is 1.

GCF(82378,82385) = 1

We will now calculate the prime factors of 82378 and 82385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82378 and 82385.

How to find the GCF of 82378 and 82385?

We will first find the prime factorization of 82378 and 82385. After we will calculate the factors of 82378 and 82385 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 82385

Prime factors of 82385 are 5, 16477. Prime factorization of 82385 in exponential form is:

82385 = 5¹ × 16477¹

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 82385

List of positive integer factors of 82385 that divides 82378 without a remainder.

1, 5, 16477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82378 and 82385. The biggest common factor number is the GCF number.
So the greatest common factor 82378 and 82385 is 1.

Also check out the Least Common Multiple of 82378 and 82385