What is the Greatest Common Factor of 7089 and 7109?

Greatest common factor (GCF) of 7089 and 7109 is 1.

GCF(7089,7109) = 1

We will now calculate the prime factors of 7089 and 7109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7089 and 7109.

How to find the GCF of 7089 and 7109?

We will first find the prime factorization of 7089 and 7109. After we will calculate the factors of 7089 and 7109 and find the biggest common factor number .

Step-1: Prime Factorization of 7089

Prime factors of 7089 are 3, 17, 139. Prime factorization of 7089 in exponential form is:

7089 = 3¹ × 17¹ × 139¹

Step-2: Prime Factorization of 7109

Prime factors of 7109 are 7109. Prime factorization of 7109 in exponential form is:

7109 = 7109¹

Step-3: Factors of 7089

List of positive integer factors of 7089 that divides 7089 without a remainder.

1, 3, 17, 51, 139, 417, 2363

Step-4: Factors of 7109

List of positive integer factors of 7109 that divides 7089 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7089 and 7109. The biggest common factor number is the GCF number.
So the greatest common factor 7089 and 7109 is 1.

Also check out the Least Common Multiple of 7089 and 7109