What is the Greatest Common Factor of 78789 and 78795?

Greatest common factor (GCF) of 78789 and 78795 is 3.

GCF(78789,78795) = 3

We will now calculate the prime factors of 78789 and 78795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78789 and 78795.

How to find the GCF of 78789 and 78795?

We will first find the prime factorization of 78789 and 78795. After we will calculate the factors of 78789 and 78795 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 78795

Prime factors of 78795 are 3, 5, 17, 103. Prime factorization of 78795 in exponential form is:

78795 = 3² × 5¹ × 17¹ × 103¹

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 78795

List of positive integer factors of 78795 that divides 78789 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 103, 153, 255, 309, 515, 765, 927, 1545, 1751, 4635, 5253, 8755, 15759, 26265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78789 and 78795. The biggest common factor number is the GCF number.
So the greatest common factor 78789 and 78795 is 3.

Also check out the Least Common Multiple of 78789 and 78795