What is the Greatest Common Factor of 83376 and 83382?

Greatest common factor (GCF) of 83376 and 83382 is 6.

GCF(83376,83382) = 6

We will now calculate the prime factors of 83376 and 83382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83376 and 83382.

How to find the GCF of 83376 and 83382?

We will first find the prime factorization of 83376 and 83382. After we will calculate the factors of 83376 and 83382 and find the biggest common factor number .

Step-1: Prime Factorization of 83376

Prime factors of 83376 are 2, 3, 193. Prime factorization of 83376 in exponential form is:

83376 = 2⁴ × 3³ × 193¹

Step-2: Prime Factorization of 83382

Prime factors of 83382 are 2, 3, 13, 1069. Prime factorization of 83382 in exponential form is:

83382 = 2¹ × 3¹ × 13¹ × 1069¹

Step-3: Factors of 83376

List of positive integer factors of 83376 that divides 83376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 193, 216, 386, 432, 579, 772, 1158, 1544, 1737, 2316, 3088, 3474, 4632, 5211, 6948, 9264, 10422, 13896, 20844, 27792, 41688

Step-4: Factors of 83382

List of positive integer factors of 83382 that divides 83376 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1069, 2138, 3207, 6414, 13897, 27794, 41691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83376 and 83382. The biggest common factor number is the GCF number.
So the greatest common factor 83376 and 83382 is 6.

Also check out the Least Common Multiple of 83376 and 83382