What is the Greatest Common Factor of 78543 and 78558?

Greatest common factor (GCF) of 78543 and 78558 is 3.

GCF(78543,78558) = 3

We will now calculate the prime factors of 78543 and 78558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78543 and 78558.

How to find the GCF of 78543 and 78558?

We will first find the prime factorization of 78543 and 78558. After we will calculate the factors of 78543 and 78558 and find the biggest common factor number .

Step-1: Prime Factorization of 78543

Prime factors of 78543 are 3, 2909. Prime factorization of 78543 in exponential form is:

78543 = 3³ × 2909¹

Step-2: Prime Factorization of 78558

Prime factors of 78558 are 2, 3, 13093. Prime factorization of 78558 in exponential form is:

78558 = 2¹ × 3¹ × 13093¹

Step-3: Factors of 78543

List of positive integer factors of 78543 that divides 78543 without a remainder.

1, 3, 9, 27, 2909, 8727, 26181

Step-4: Factors of 78558

List of positive integer factors of 78558 that divides 78543 without a remainder.

1, 2, 3, 6, 13093, 26186, 39279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78543 and 78558. The biggest common factor number is the GCF number.
So the greatest common factor 78543 and 78558 is 3.

Also check out the Least Common Multiple of 78543 and 78558