What is the Greatest Common Factor of 9089 and 9100?

Greatest common factor (GCF) of 9089 and 9100 is 1.

GCF(9089,9100) = 1

We will now calculate the prime factors of 9089 and 9100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9089 and 9100.

How to find the GCF of 9089 and 9100?

We will first find the prime factorization of 9089 and 9100. After we will calculate the factors of 9089 and 9100 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 9100

Prime factors of 9100 are 2, 5, 7, 13. Prime factorization of 9100 in exponential form is:

9100 = 2² × 5² × 7¹ × 13¹

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 9100

List of positive integer factors of 9100 that divides 9089 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9089 and 9100. The biggest common factor number is the GCF number.
So the greatest common factor 9089 and 9100 is 1.

Also check out the Least Common Multiple of 9089 and 9100