What is the Greatest Common Factor of 78786 and 78804?

Greatest common factor (GCF) of 78786 and 78804 is 18.

GCF(78786,78804) = 18

We will now calculate the prime factors of 78786 and 78804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78786 and 78804.

How to find the GCF of 78786 and 78804?

We will first find the prime factorization of 78786 and 78804. After we will calculate the factors of 78786 and 78804 and find the biggest common factor number .

Step-1: Prime Factorization of 78786

Prime factors of 78786 are 2, 3, 1459. Prime factorization of 78786 in exponential form is:

78786 = 2¹ × 3³ × 1459¹

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 78786

List of positive integer factors of 78786 that divides 78786 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1459, 2918, 4377, 8754, 13131, 26262, 39393

Step-4: Factors of 78804

List of positive integer factors of 78804 that divides 78786 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 78786 and 78804. The biggest common factor number is the GCF number.
So the greatest common factor 78786 and 78804 is 18.

Also check out the Least Common Multiple of 78786 and 78804