What is the Greatest Common Factor of 78165 and 78173?

Greatest common factor (GCF) of 78165 and 78173 is 1.

GCF(78165,78173) = 1

We will now calculate the prime factors of 78165 and 78173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78165 and 78173.

How to find the GCF of 78165 and 78173?

We will first find the prime factorization of 78165 and 78173. After we will calculate the factors of 78165 and 78173 and find the biggest common factor number .

Step-1: Prime Factorization of 78165

Prime factors of 78165 are 3, 5, 193. Prime factorization of 78165 in exponential form is:

78165 = 3⁴ × 5¹ × 193¹

Step-2: Prime Factorization of 78173

Prime factors of 78173 are 78173. Prime factorization of 78173 in exponential form is:

78173 = 78173¹

Step-3: Factors of 78165

List of positive integer factors of 78165 that divides 78165 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 193, 405, 579, 965, 1737, 2895, 5211, 8685, 15633, 26055

Step-4: Factors of 78173

List of positive integer factors of 78173 that divides 78165 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78165 and 78173. The biggest common factor number is the GCF number.
So the greatest common factor 78165 and 78173 is 1.

Also check out the Least Common Multiple of 78165 and 78173