What is the Greatest Common Factor of 83376 and 83392?

Greatest common factor (GCF) of 83376 and 83392 is 16.

GCF(83376,83392) = 16

We will now calculate the prime factors of 83376 and 83392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83376 and 83392.

How to find the GCF of 83376 and 83392?

We will first find the prime factorization of 83376 and 83392. After we will calculate the factors of 83376 and 83392 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 83392

Prime factors of 83392 are 2, 1303. Prime factorization of 83392 in exponential form is:

83392 = 2⁶ × 1303¹

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 83392

List of positive integer factors of 83392 that divides 83376 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1303, 2606, 5212, 10424, 20848, 41696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83376 and 83392. The biggest common factor number is the GCF number.
So the greatest common factor 83376 and 83392 is 16.

Also check out the Least Common Multiple of 83376 and 83392