What is the Greatest Common Factor of 9009 and 9016?

Greatest common factor (GCF) of 9009 and 9016 is 7.

GCF(9009,9016) = 7

We will now calculate the prime factors of 9009 and 9016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9009 and 9016.

How to find the GCF of 9009 and 9016?

We will first find the prime factorization of 9009 and 9016. After we will calculate the factors of 9009 and 9016 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 9016

Prime factors of 9016 are 2, 7, 23. Prime factorization of 9016 in exponential form is:

9016 = 2³ × 7² × 23¹

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 9016

List of positive integer factors of 9016 that divides 9009 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9009 and 9016. The biggest common factor number is the GCF number.
So the greatest common factor 9009 and 9016 is 7.

Also check out the Least Common Multiple of 9009 and 9016