What is the Greatest Common Factor of 83364 and 83376?

Greatest common factor (GCF) of 83364 and 83376 is 12.

GCF(83364,83376) = 12

We will now calculate the prime factors of 83364 and 83376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83364 and 83376.

How to find the GCF of 83364 and 83376?

We will first find the prime factorization of 83364 and 83376. After we will calculate the factors of 83364 and 83376 and find the biggest common factor number .

Step-1: Prime Factorization of 83364

Prime factors of 83364 are 2, 3, 6947. Prime factorization of 83364 in exponential form is:

83364 = 2² × 3¹ × 6947¹

Step-2: 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-3: Factors of 83364

List of positive integer factors of 83364 that divides 83364 without a remainder.

1, 2, 3, 4, 6, 12, 6947, 13894, 20841, 27788, 41682

Step-4: Factors of 83376

List of positive integer factors of 83376 that divides 83364 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83364 and 83376. The biggest common factor number is the GCF number.
So the greatest common factor 83364 and 83376 is 12.

Also check out the Least Common Multiple of 83364 and 83376