What is the Greatest Common Factor of 38375 and 38393?

Greatest common factor (GCF) of 38375 and 38393 is 1.

GCF(38375,38393) = 1

We will now calculate the prime factors of 38375 and 38393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38375 and 38393.

How to find the GCF of 38375 and 38393?

We will first find the prime factorization of 38375 and 38393. After we will calculate the factors of 38375 and 38393 and find the biggest common factor number .

Step-1: Prime Factorization of 38375

Prime factors of 38375 are 5, 307. Prime factorization of 38375 in exponential form is:

38375 = 5³ × 307¹

Step-2: Prime Factorization of 38393

Prime factors of 38393 are 38393. Prime factorization of 38393 in exponential form is:

38393 = 38393¹

Step-3: Factors of 38375

List of positive integer factors of 38375 that divides 38375 without a remainder.

1, 5, 25, 125, 307, 1535, 7675

Step-4: Factors of 38393

List of positive integer factors of 38393 that divides 38375 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38375 and 38393. The biggest common factor number is the GCF number.
So the greatest common factor 38375 and 38393 is 1.

Also check out the Least Common Multiple of 38375 and 38393