What is the Greatest Common Factor of 9009 and 9019?

Greatest common factor (GCF) of 9009 and 9019 is 1.

GCF(9009,9019) = 1

We will now calculate the prime factors of 9009 and 9019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9009 and 9019.

How to find the GCF of 9009 and 9019?

We will first find the prime factorization of 9009 and 9019. After we will calculate the factors of 9009 and 9019 and find the biggest common factor number .

Step-1: Prime Factorization of 9009

Prime factors of 9009 are 3, 7, 11, 13. Prime factorization of 9009 in exponential form is:

9009 = 3² × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 9019

Prime factors of 9019 are 29, 311. Prime factorization of 9019 in exponential form is:

9019 = 29¹ × 311¹

Step-3: Factors of 9009

List of positive integer factors of 9009 that divides 9009 without a remainder.

1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003

Step-4: Factors of 9019

List of positive integer factors of 9019 that divides 9009 without a remainder.

1, 29, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9009 and 9019. The biggest common factor number is the GCF number.
So the greatest common factor 9009 and 9019 is 1.

Also check out the Least Common Multiple of 9009 and 9019