What is the Greatest Common Factor of 78804 and 78817?

Greatest common factor (GCF) of 78804 and 78817 is 1.

GCF(78804,78817) = 1

We will now calculate the prime factors of 78804 and 78817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78804 and 78817.

How to find the GCF of 78804 and 78817?

We will first find the prime factorization of 78804 and 78817. After we will calculate the factors of 78804 and 78817 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 78817

Prime factors of 78817 are 269, 293. Prime factorization of 78817 in exponential form is:

78817 = 269¹ × 293¹

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 78817

List of positive integer factors of 78817 that divides 78804 without a remainder.

1, 269, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78804 and 78817. The biggest common factor number is the GCF number.
So the greatest common factor 78804 and 78817 is 1.

Also check out the Least Common Multiple of 78804 and 78817