What is the Greatest Common Factor of 78789 and 78804?

Greatest common factor (GCF) of 78789 and 78804 is 3.

GCF(78789,78804) = 3

We will now calculate the prime factors of 78789 and 78804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78789 and 78804.

How to find the GCF of 78789 and 78804?

We will first find the prime factorization of 78789 and 78804. After we will calculate the factors of 78789 and 78804 and find the biggest common factor number .

Step-1: Prime Factorization of 78789

Prime factors of 78789 are 3, 26263. Prime factorization of 78789 in exponential form is:

78789 = 3¹ × 26263¹

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 78789

List of positive integer factors of 78789 that divides 78789 without a remainder.

1, 3, 26263

Step-4: Factors of 78804

List of positive integer factors of 78804 that divides 78789 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 78789 and 78804. The biggest common factor number is the GCF number.
So the greatest common factor 78789 and 78804 is 3.

Also check out the Least Common Multiple of 78789 and 78804