What is the Greatest Common Factor of 78795 and 78807?

Greatest common factor (GCF) of 78795 and 78807 is 3.

GCF(78795,78807) = 3

We will now calculate the prime factors of 78795 and 78807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78795 and 78807.

How to find the GCF of 78795 and 78807?

We will first find the prime factorization of 78795 and 78807. After we will calculate the factors of 78795 and 78807 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78807

Prime factors of 78807 are 3, 109, 241. Prime factorization of 78807 in exponential form is:

78807 = 3¹ × 109¹ × 241¹

Step-3: Factors of 78795

List of positive integer factors of 78795 that divides 78795 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

Step-4: Factors of 78807

List of positive integer factors of 78807 that divides 78795 without a remainder.

1, 3, 109, 241, 327, 723, 26269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78795 and 78807. The biggest common factor number is the GCF number.
So the greatest common factor 78795 and 78807 is 3.

Also check out the Least Common Multiple of 78795 and 78807