What is the Greatest Common Factor of 8382 and 8401?

Greatest common factor (GCF) of 8382 and 8401 is 1.

GCF(8382,8401) = 1

We will now calculate the prime factors of 8382 and 8401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8382 and 8401.

How to find the GCF of 8382 and 8401?

We will first find the prime factorization of 8382 and 8401. After we will calculate the factors of 8382 and 8401 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8401

Prime factors of 8401 are 31, 271. Prime factorization of 8401 in exponential form is:

8401 = 31¹ × 271¹

Step-3: Factors of 8382

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

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

Step-4: Factors of 8401

List of positive integer factors of 8401 that divides 8382 without a remainder.

1, 31, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8382 and 8401. The biggest common factor number is the GCF number.
So the greatest common factor 8382 and 8401 is 1.

Also check out the Least Common Multiple of 8382 and 8401