What is the Greatest Common Factor of 4089 and 4098?

Greatest common factor (GCF) of 4089 and 4098 is 3.

GCF(4089,4098) = 3

We will now calculate the prime factors of 4089 and 4098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4089 and 4098.

How to find the GCF of 4089 and 4098?

We will first find the prime factorization of 4089 and 4098. After we will calculate the factors of 4089 and 4098 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 4098

Prime factors of 4098 are 2, 3, 683. Prime factorization of 4098 in exponential form is:

4098 = 2¹ × 3¹ × 683¹

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 4098

List of positive integer factors of 4098 that divides 4089 without a remainder.

1, 2, 3, 6, 683, 1366, 2049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4089 and 4098. The biggest common factor number is the GCF number.
So the greatest common factor 4089 and 4098 is 3.

Also check out the Least Common Multiple of 4089 and 4098