What is the Greatest Common Factor of 43089 and 43095?

Greatest common factor (GCF) of 43089 and 43095 is 3.

GCF(43089,43095) = 3

We will now calculate the prime factors of 43089 and 43095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43089 and 43095.

How to find the GCF of 43089 and 43095?

We will first find the prime factorization of 43089 and 43095. After we will calculate the factors of 43089 and 43095 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 43095

Prime factors of 43095 are 3, 5, 13, 17. Prime factorization of 43095 in exponential form is:

43095 = 3¹ × 5¹ × 13² × 17¹

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 43095

List of positive integer factors of 43095 that divides 43089 without a remainder.

1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 169, 195, 221, 255, 507, 663, 845, 1105, 2535, 2873, 3315, 8619, 14365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43089 and 43095. The biggest common factor number is the GCF number.
So the greatest common factor 43089 and 43095 is 3.

Also check out the Least Common Multiple of 43089 and 43095