What is the Greatest Common Factor of 83376 and 83388?

Greatest common factor (GCF) of 83376 and 83388 is 12.

GCF(83376,83388) = 12

We will now calculate the prime factors of 83376 and 83388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83376 and 83388.

How to find the GCF of 83376 and 83388?

We will first find the prime factorization of 83376 and 83388. After we will calculate the factors of 83376 and 83388 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 83388

Prime factors of 83388 are 2, 3, 6949. Prime factorization of 83388 in exponential form is:

83388 = 2² × 3¹ × 6949¹

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 83388

List of positive integer factors of 83388 that divides 83376 without a remainder.

1, 2, 3, 4, 6, 12, 6949, 13898, 20847, 27796, 41694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83376 and 83388. The biggest common factor number is the GCF number.
So the greatest common factor 83376 and 83388 is 12.

Also check out the Least Common Multiple of 83376 and 83388