What is the Greatest Common Factor of 78543 and 78561?

Greatest common factor (GCF) of 78543 and 78561 is 9.

GCF(78543,78561) = 9

We will now calculate the prime factors of 78543 and 78561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78543 and 78561.

How to find the GCF of 78543 and 78561?

We will first find the prime factorization of 78543 and 78561. After we will calculate the factors of 78543 and 78561 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 78561

Prime factors of 78561 are 3, 7, 29, 43. Prime factorization of 78561 in exponential form is:

78561 = 3² × 7¹ × 29¹ × 43¹

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 78561

List of positive integer factors of 78561 that divides 78543 without a remainder.

1, 3, 7, 9, 21, 29, 43, 63, 87, 129, 203, 261, 301, 387, 609, 903, 1247, 1827, 2709, 3741, 8729, 11223, 26187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78543 and 78561. The biggest common factor number is the GCF number.
So the greatest common factor 78543 and 78561 is 9.

Also check out the Least Common Multiple of 78543 and 78561