What is the Greatest Common Factor of 4089 and 4099?

Greatest common factor (GCF) of 4089 and 4099 is 1.

GCF(4089,4099) = 1

We will now calculate the prime factors of 4089 and 4099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4089 and 4099.

How to find the GCF of 4089 and 4099?

We will first find the prime factorization of 4089 and 4099. After we will calculate the factors of 4089 and 4099 and find the biggest common factor number .

Step-1: Prime Factorization of 4089

Prime factors of 4089 are 3, 29, 47. Prime factorization of 4089 in exponential form is:

4089 = 3¹ × 29¹ × 47¹

Step-2: Prime Factorization of 4099

Prime factors of 4099 are 4099. Prime factorization of 4099 in exponential form is:

4099 = 4099¹

Step-3: Factors of 4089

List of positive integer factors of 4089 that divides 4089 without a remainder.

1, 3, 29, 47, 87, 141, 1363

Step-4: Factors of 4099

List of positive integer factors of 4099 that divides 4089 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4089 and 4099. The biggest common factor number is the GCF number.
So the greatest common factor 4089 and 4099 is 1.

Also check out the Least Common Multiple of 4089 and 4099