What is the Greatest Common Factor of 38374 and 38393?

Greatest common factor (GCF) of 38374 and 38393 is 1.

GCF(38374,38393) = 1

We will now calculate the prime factors of 38374 and 38393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38374 and 38393.

How to find the GCF of 38374 and 38393?

We will first find the prime factorization of 38374 and 38393. After we will calculate the factors of 38374 and 38393 and find the biggest common factor number .

Step-1: Prime Factorization of 38374

Prime factors of 38374 are 2, 7, 2741. Prime factorization of 38374 in exponential form is:

38374 = 2¹ × 7¹ × 2741¹

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 38374

List of positive integer factors of 38374 that divides 38374 without a remainder.

1, 2, 7, 14, 2741, 5482, 19187

Step-4: Factors of 38393

List of positive integer factors of 38393 that divides 38374 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38374 and 38393. The biggest common factor number is the GCF number.
So the greatest common factor 38374 and 38393 is 1.

Also check out the Least Common Multiple of 38374 and 38393