What is the Greatest Common Factor of 9009 and 9014?

Greatest common factor (GCF) of 9009 and 9014 is 1.

GCF(9009,9014) = 1

We will now calculate the prime factors of 9009 and 9014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9009 and 9014.

How to find the GCF of 9009 and 9014?

We will first find the prime factorization of 9009 and 9014. After we will calculate the factors of 9009 and 9014 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 9014

Prime factors of 9014 are 2, 4507. Prime factorization of 9014 in exponential form is:

9014 = 2¹ × 4507¹

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 9014

List of positive integer factors of 9014 that divides 9009 without a remainder.

1, 2, 4507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9009 and 9014. The biggest common factor number is the GCF number.
So the greatest common factor 9009 and 9014 is 1.

Also check out the Least Common Multiple of 9009 and 9014