What is the Greatest Common Factor of 78804 and 78816?

Greatest common factor (GCF) of 78804 and 78816 is 12.

GCF(78804,78816) = 12

We will now calculate the prime factors of 78804 and 78816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78804 and 78816.

How to find the GCF of 78804 and 78816?

We will first find the prime factorization of 78804 and 78816. After we will calculate the factors of 78804 and 78816 and find the biggest common factor number .

Step-1: Prime Factorization of 78804

Prime factors of 78804 are 2, 3, 11, 199. Prime factorization of 78804 in exponential form is:

78804 = 2² × 3² × 11¹ × 199¹

Step-2: Prime Factorization of 78816

Prime factors of 78816 are 2, 3, 821. Prime factorization of 78816 in exponential form is:

78816 = 2⁵ × 3¹ × 821¹

Step-3: Factors of 78804

List of positive integer factors of 78804 that divides 78804 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 199, 396, 398, 597, 796, 1194, 1791, 2189, 2388, 3582, 4378, 6567, 7164, 8756, 13134, 19701, 26268, 39402

Step-4: Factors of 78816

List of positive integer factors of 78816 that divides 78804 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 821, 1642, 2463, 3284, 4926, 6568, 9852, 13136, 19704, 26272, 39408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78804 and 78816. The biggest common factor number is the GCF number.
So the greatest common factor 78804 and 78816 is 12.

Also check out the Least Common Multiple of 78804 and 78816