What is the Greatest Common Factor of 79089 and 79109?

Greatest common factor (GCF) of 79089 and 79109 is 1.

GCF(79089,79109) = 1

We will now calculate the prime factors of 79089 and 79109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79089 and 79109.

How to find the GCF of 79089 and 79109?

We will first find the prime factorization of 79089 and 79109. After we will calculate the factors of 79089 and 79109 and find the biggest common factor number .

Step-1: Prime Factorization of 79089

Prime factors of 79089 are 3, 41, 643. Prime factorization of 79089 in exponential form is:

79089 = 3¹ × 41¹ × 643¹

Step-2: Prime Factorization of 79109

Prime factors of 79109 are 239, 331. Prime factorization of 79109 in exponential form is:

79109 = 239¹ × 331¹

Step-3: Factors of 79089

List of positive integer factors of 79089 that divides 79089 without a remainder.

1, 3, 41, 123, 643, 1929, 26363

Step-4: Factors of 79109

List of positive integer factors of 79109 that divides 79089 without a remainder.

1, 239, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79089 and 79109. The biggest common factor number is the GCF number.
So the greatest common factor 79089 and 79109 is 1.

Also check out the Least Common Multiple of 79089 and 79109