What is the Greatest Common Factor of 9009 and 9024?

Greatest common factor (GCF) of 9009 and 9024 is 3.

GCF(9009,9024) = 3

We will now calculate the prime factors of 9009 and 9024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9009 and 9024.

How to find the GCF of 9009 and 9024?

We will first find the prime factorization of 9009 and 9024. After we will calculate the factors of 9009 and 9024 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 9024

Prime factors of 9024 are 2, 3, 47. Prime factorization of 9024 in exponential form is:

9024 = 2⁶ × 3¹ × 47¹

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 9024

List of positive integer factors of 9024 that divides 9009 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9009 and 9024. The biggest common factor number is the GCF number.
So the greatest common factor 9009 and 9024 is 3.

Also check out the Least Common Multiple of 9009 and 9024