What is the Greatest Common Factor of 9089 and 9108?

Greatest common factor (GCF) of 9089 and 9108 is 1.

GCF(9089,9108) = 1

We will now calculate the prime factors of 9089 and 9108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9089 and 9108.

How to find the GCF of 9089 and 9108?

We will first find the prime factorization of 9089 and 9108. After we will calculate the factors of 9089 and 9108 and find the biggest common factor number .

Step-1: Prime Factorization of 9089

Prime factors of 9089 are 61, 149. Prime factorization of 9089 in exponential form is:

9089 = 61¹ × 149¹

Step-2: Prime Factorization of 9108

Prime factors of 9108 are 2, 3, 11, 23. Prime factorization of 9108 in exponential form is:

9108 = 2² × 3² × 11¹ × 23¹

Step-3: Factors of 9089

List of positive integer factors of 9089 that divides 9089 without a remainder.

1, 61, 149

Step-4: Factors of 9108

List of positive integer factors of 9108 that divides 9089 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9089 and 9108. The biggest common factor number is the GCF number.
So the greatest common factor 9089 and 9108 is 1.

Also check out the Least Common Multiple of 9089 and 9108