What is the Greatest Common Factor of 9009 and 9015?

Greatest common factor (GCF) of 9009 and 9015 is 3.

GCF(9009,9015) = 3

We will now calculate the prime factors of 9009 and 9015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9009 and 9015.

How to find the GCF of 9009 and 9015?

We will first find the prime factorization of 9009 and 9015. After we will calculate the factors of 9009 and 9015 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 9015

Prime factors of 9015 are 3, 5, 601. Prime factorization of 9015 in exponential form is:

9015 = 3¹ × 5¹ × 601¹

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 9015

List of positive integer factors of 9015 that divides 9009 without a remainder.

1, 3, 5, 15, 601, 1803, 3005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9009 and 9015. The biggest common factor number is the GCF number.
So the greatest common factor 9009 and 9015 is 3.

Also check out the Least Common Multiple of 9009 and 9015