What is the Greatest Common Factor of 8376 and 8382?

Greatest common factor (GCF) of 8376 and 8382 is 6.

GCF(8376,8382) = 6

We will now calculate the prime factors of 8376 and 8382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8376 and 8382.

How to find the GCF of 8376 and 8382?

We will first find the prime factorization of 8376 and 8382. After we will calculate the factors of 8376 and 8382 and find the biggest common factor number .

Step-1: Prime Factorization of 8376

Prime factors of 8376 are 2, 3, 349. Prime factorization of 8376 in exponential form is:

8376 = 2³ × 3¹ × 349¹

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 8376

List of positive integer factors of 8376 that divides 8376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188

Step-4: Factors of 8382

List of positive integer factors of 8382 that divides 8376 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 8376 and 8382. The biggest common factor number is the GCF number.
So the greatest common factor 8376 and 8382 is 6.

Also check out the Least Common Multiple of 8376 and 8382