What is the Greatest Common Factor of 78792 and 78804?

Greatest common factor (GCF) of 78792 and 78804 is 12.

GCF(78792,78804) = 12

We will now calculate the prime factors of 78792 and 78804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78792 and 78804.

How to find the GCF of 78792 and 78804?

We will first find the prime factorization of 78792 and 78804. After we will calculate the factors of 78792 and 78804 and find the biggest common factor number .

Step-1: Prime Factorization of 78792

Prime factors of 78792 are 2, 3, 7, 67. Prime factorization of 78792 in exponential form is:

78792 = 2³ × 3¹ × 7² × 67¹

Step-2: 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-3: Factors of 78792

List of positive integer factors of 78792 that divides 78792 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 67, 84, 98, 134, 147, 168, 196, 201, 268, 294, 392, 402, 469, 536, 588, 804, 938, 1176, 1407, 1608, 1876, 2814, 3283, 3752, 5628, 6566, 9849, 11256, 13132, 19698, 26264, 39396

Step-4: Factors of 78804

List of positive integer factors of 78804 that divides 78792 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78792 and 78804. The biggest common factor number is the GCF number.
So the greatest common factor 78792 and 78804 is 12.

Also check out the Least Common Multiple of 78792 and 78804