What is the Greatest Common Factor of 8381 and 8386?

Greatest common factor (GCF) of 8381 and 8386 is 1.

GCF(8381,8386) = 1

We will now calculate the prime factors of 8381 and 8386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8381 and 8386.

How to find the GCF of 8381 and 8386?

We will first find the prime factorization of 8381 and 8386. After we will calculate the factors of 8381 and 8386 and find the biggest common factor number .

Step-1: Prime Factorization of 8381

Prime factors of 8381 are 17, 29. Prime factorization of 8381 in exponential form is:

8381 = 17² × 29¹

Step-2: Prime Factorization of 8386

Prime factors of 8386 are 2, 7, 599. Prime factorization of 8386 in exponential form is:

8386 = 2¹ × 7¹ × 599¹

Step-3: Factors of 8381

List of positive integer factors of 8381 that divides 8381 without a remainder.

1, 17, 29, 289, 493

Step-4: Factors of 8386

List of positive integer factors of 8386 that divides 8381 without a remainder.

1, 2, 7, 14, 599, 1198, 4193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8381 and 8386. The biggest common factor number is the GCF number.
So the greatest common factor 8381 and 8386 is 1.

Also check out the Least Common Multiple of 8381 and 8386