What is the Greatest Common Factor of 58378 and 58393?

Greatest common factor (GCF) of 58378 and 58393 is 1.

GCF(58378,58393) = 1

We will now calculate the prime factors of 58378 and 58393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58378 and 58393.

How to find the GCF of 58378 and 58393?

We will first find the prime factorization of 58378 and 58393. After we will calculate the factors of 58378 and 58393 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 58393

Prime factors of 58393 are 58393. Prime factorization of 58393 in exponential form is:

58393 = 58393¹

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 58393

List of positive integer factors of 58393 that divides 58378 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58378 and 58393. The biggest common factor number is the GCF number.
So the greatest common factor 58378 and 58393 is 1.

Also check out the Least Common Multiple of 58378 and 58393