What is the Greatest Common Factor of 8371 and 8382?

Greatest common factor (GCF) of 8371 and 8382 is 11.

GCF(8371,8382) = 11

We will now calculate the prime factors of 8371 and 8382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8371 and 8382.

How to find the GCF of 8371 and 8382?

We will first find the prime factorization of 8371 and 8382. After we will calculate the factors of 8371 and 8382 and find the biggest common factor number .

Step-1: Prime Factorization of 8371

Prime factors of 8371 are 11, 761. Prime factorization of 8371 in exponential form is:

8371 = 11¹ × 761¹

Step-2: Prime Factorization of 8382

Prime factors of 8382 are 2, 3, 11, 127. Prime factorization of 8382 in exponential form is:

8382 = 2¹ × 3¹ × 11¹ × 127¹

Step-3: Factors of 8371

List of positive integer factors of 8371 that divides 8371 without a remainder.

1, 11, 761

Step-4: Factors of 8382

List of positive integer factors of 8382 that divides 8371 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8371 and 8382. The biggest common factor number is the GCF number.
So the greatest common factor 8371 and 8382 is 11.

Also check out the Least Common Multiple of 8371 and 8382