What is the Greatest Common Factor of 43080 and 43089?

Greatest common factor (GCF) of 43080 and 43089 is 3.

GCF(43080,43089) = 3

We will now calculate the prime factors of 43080 and 43089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43080 and 43089.

How to find the GCF of 43080 and 43089?

We will first find the prime factorization of 43080 and 43089. After we will calculate the factors of 43080 and 43089 and find the biggest common factor number .

Step-1: Prime Factorization of 43080

Prime factors of 43080 are 2, 3, 5, 359. Prime factorization of 43080 in exponential form is:

43080 = 2³ × 3¹ × 5¹ × 359¹

Step-2: 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-3: Factors of 43080

List of positive integer factors of 43080 that divides 43080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 359, 718, 1077, 1436, 1795, 2154, 2872, 3590, 4308, 5385, 7180, 8616, 10770, 14360, 21540

Step-4: Factors of 43089

List of positive integer factors of 43089 that divides 43080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43080 and 43089. The biggest common factor number is the GCF number.
So the greatest common factor 43080 and 43089 is 3.

Also check out the Least Common Multiple of 43080 and 43089