What is the Greatest Common Factor of 58378 and 58395?

Greatest common factor (GCF) of 58378 and 58395 is 17.

GCF(58378,58395) = 17

We will now calculate the prime factors of 58378 and 58395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58378 and 58395.

How to find the GCF of 58378 and 58395?

We will first find the prime factorization of 58378 and 58395. After we will calculate the factors of 58378 and 58395 and find the biggest common factor number .

Step-1: Prime Factorization of 58378

Prime factors of 58378 are 2, 17, 101. Prime factorization of 58378 in exponential form is:

58378 = 2¹ × 17² × 101¹

Step-2: Prime Factorization of 58395

Prime factors of 58395 are 3, 5, 17, 229. Prime factorization of 58395 in exponential form is:

58395 = 3¹ × 5¹ × 17¹ × 229¹

Step-3: Factors of 58378

List of positive integer factors of 58378 that divides 58378 without a remainder.

1, 2, 17, 34, 101, 202, 289, 578, 1717, 3434, 29189

Step-4: Factors of 58395

List of positive integer factors of 58395 that divides 58378 without a remainder.

1, 3, 5, 15, 17, 51, 85, 229, 255, 687, 1145, 3435, 3893, 11679, 19465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58378 and 58395. The biggest common factor number is the GCF number.
So the greatest common factor 58378 and 58395 is 17.

Also check out the Least Common Multiple of 58378 and 58395