What is the Greatest Common Factor of 78795 and 78805?

Greatest common factor (GCF) of 78795 and 78805 is 5.

GCF(78795,78805) = 5

We will now calculate the prime factors of 78795 and 78805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78795 and 78805.

How to find the GCF of 78795 and 78805?

We will first find the prime factorization of 78795 and 78805. After we will calculate the factors of 78795 and 78805 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 78805

Prime factors of 78805 are 5, 15761. Prime factorization of 78805 in exponential form is:

78805 = 5¹ × 15761¹

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 78805

List of positive integer factors of 78805 that divides 78795 without a remainder.

1, 5, 15761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78795 and 78805. The biggest common factor number is the GCF number.
So the greatest common factor 78795 and 78805 is 5.

Also check out the Least Common Multiple of 78795 and 78805