What is the Greatest Common Factor of 79089 and 79096?

Greatest common factor (GCF) of 79089 and 79096 is 1.

GCF(79089,79096) = 1

We will now calculate the prime factors of 79089 and 79096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79089 and 79096.

How to find the GCF of 79089 and 79096?

We will first find the prime factorization of 79089 and 79096. After we will calculate the factors of 79089 and 79096 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 79096

Prime factors of 79096 are 2, 9887. Prime factorization of 79096 in exponential form is:

79096 = 2³ × 9887¹

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 79096

List of positive integer factors of 79096 that divides 79089 without a remainder.

1, 2, 4, 8, 9887, 19774, 39548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79089 and 79096. The biggest common factor number is the GCF number.
So the greatest common factor 79089 and 79096 is 1.

Also check out the Least Common Multiple of 79089 and 79096