What is the Greatest Common Factor of 43089 and 43096?

Greatest common factor (GCF) of 43089 and 43096 is 1.

GCF(43089,43096) = 1

We will now calculate the prime factors of 43089 and 43096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43089 and 43096.

How to find the GCF of 43089 and 43096?

We will first find the prime factorization of 43089 and 43096. After we will calculate the factors of 43089 and 43096 and find the biggest common factor number .

Step-1: Prime Factorization of 43089

Prime factors of 43089 are 3, 53, 271. Prime factorization of 43089 in exponential form is:

43089 = 3¹ × 53¹ × 271¹

Step-2: Prime Factorization of 43096

Prime factors of 43096 are 2, 5387. Prime factorization of 43096 in exponential form is:

43096 = 2³ × 5387¹

Step-3: Factors of 43089

List of positive integer factors of 43089 that divides 43089 without a remainder.

1, 3, 53, 159, 271, 813, 14363

Step-4: Factors of 43096

List of positive integer factors of 43096 that divides 43089 without a remainder.

1, 2, 4, 8, 5387, 10774, 21548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43089 and 43096. The biggest common factor number is the GCF number.
So the greatest common factor 43089 and 43096 is 1.

Also check out the Least Common Multiple of 43089 and 43096