What is the Greatest Common Factor of 43089 and 43107?

Greatest common factor (GCF) of 43089 and 43107 is 3.

GCF(43089,43107) = 3

We will now calculate the prime factors of 43089 and 43107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43089 and 43107.

How to find the GCF of 43089 and 43107?

We will first find the prime factorization of 43089 and 43107. After we will calculate the factors of 43089 and 43107 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 43107

Prime factors of 43107 are 3, 14369. Prime factorization of 43107 in exponential form is:

43107 = 3¹ × 14369¹

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 43107

List of positive integer factors of 43107 that divides 43089 without a remainder.

1, 3, 14369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43089 and 43107. The biggest common factor number is the GCF number.
So the greatest common factor 43089 and 43107 is 3.

Also check out the Least Common Multiple of 43089 and 43107