What is the Greatest Common Factor of 78597 and 78609?

Greatest common factor (GCF) of 78597 and 78609 is 3.

GCF(78597,78609) = 3

We will now calculate the prime factors of 78597 and 78609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78597 and 78609.

How to find the GCF of 78597 and 78609?

We will first find the prime factorization of 78597 and 78609. After we will calculate the factors of 78597 and 78609 and find the biggest common factor number .

Step-1: Prime Factorization of 78597

Prime factors of 78597 are 3, 41, 71. Prime factorization of 78597 in exponential form is:

78597 = 3³ × 41¹ × 71¹

Step-2: Prime Factorization of 78609

Prime factors of 78609 are 3, 26203. Prime factorization of 78609 in exponential form is:

78609 = 3¹ × 26203¹

Step-3: Factors of 78597

List of positive integer factors of 78597 that divides 78597 without a remainder.

1, 3, 9, 27, 41, 71, 123, 213, 369, 639, 1107, 1917, 2911, 8733, 26199

Step-4: Factors of 78609

List of positive integer factors of 78609 that divides 78597 without a remainder.

1, 3, 26203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78597 and 78609. The biggest common factor number is the GCF number.
So the greatest common factor 78597 and 78609 is 3.

Also check out the Least Common Multiple of 78597 and 78609