What is the Greatest Common Factor of 78788 and 78804?

Greatest common factor (GCF) of 78788 and 78804 is 4.

GCF(78788,78804) = 4

We will now calculate the prime factors of 78788 and 78804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78788 and 78804.

How to find the GCF of 78788 and 78804?

We will first find the prime factorization of 78788 and 78804. After we will calculate the factors of 78788 and 78804 and find the biggest common factor number .

Step-1: Prime Factorization of 78788

Prime factors of 78788 are 2, 19697. Prime factorization of 78788 in exponential form is:

78788 = 2² × 19697¹

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 78788

List of positive integer factors of 78788 that divides 78788 without a remainder.

1, 2, 4, 19697, 39394

Step-4: Factors of 78804

List of positive integer factors of 78804 that divides 78788 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 78788 and 78804. The biggest common factor number is the GCF number.
So the greatest common factor 78788 and 78804 is 4.

Also check out the Least Common Multiple of 78788 and 78804