What is the Greatest Common Factor of 38387 and 38404?

Greatest common factor (GCF) of 38387 and 38404 is 1.

GCF(38387,38404) = 1

We will now calculate the prime factors of 38387 and 38404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38387 and 38404.

How to find the GCF of 38387 and 38404?

We will first find the prime factorization of 38387 and 38404. After we will calculate the factors of 38387 and 38404 and find the biggest common factor number .

Step-1: Prime Factorization of 38387

Prime factors of 38387 are 23, 1669. Prime factorization of 38387 in exponential form is:

38387 = 23¹ × 1669¹

Step-2: Prime Factorization of 38404

Prime factors of 38404 are 2, 9601. Prime factorization of 38404 in exponential form is:

38404 = 2² × 9601¹

Step-3: Factors of 38387

List of positive integer factors of 38387 that divides 38387 without a remainder.

1, 23, 1669

Step-4: Factors of 38404

List of positive integer factors of 38404 that divides 38387 without a remainder.

1, 2, 4, 9601, 19202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38387 and 38404. The biggest common factor number is the GCF number.
So the greatest common factor 38387 and 38404 is 1.

Also check out the Least Common Multiple of 38387 and 38404