What is the Greatest Common Factor of 78804 and 78821?

Greatest common factor (GCF) of 78804 and 78821 is 1.

GCF(78804,78821) = 1

We will now calculate the prime factors of 78804 and 78821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78804 and 78821.

How to find the GCF of 78804 and 78821?

We will first find the prime factorization of 78804 and 78821. After we will calculate the factors of 78804 and 78821 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 78821

Prime factors of 78821 are 23, 149. Prime factorization of 78821 in exponential form is:

78821 = 23² × 149¹

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 78821

List of positive integer factors of 78821 that divides 78804 without a remainder.

1, 23, 149, 529, 3427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78804 and 78821. The biggest common factor number is the GCF number.
So the greatest common factor 78804 and 78821 is 1.

Also check out the Least Common Multiple of 78804 and 78821