What is the Greatest Common Factor of 33009 and 33024?

Greatest common factor (GCF) of 33009 and 33024 is 3.

GCF(33009,33024) = 3

We will now calculate the prime factors of 33009 and 33024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33009 and 33024.

How to find the GCF of 33009 and 33024?

We will first find the prime factorization of 33009 and 33024. After we will calculate the factors of 33009 and 33024 and find the biggest common factor number .

Step-1: Prime Factorization of 33009

Prime factors of 33009 are 3, 11003. Prime factorization of 33009 in exponential form is:

33009 = 3¹ × 11003¹

Step-2: Prime Factorization of 33024

Prime factors of 33024 are 2, 3, 43. Prime factorization of 33024 in exponential form is:

33024 = 2⁸ × 3¹ × 43¹

Step-3: Factors of 33009

List of positive integer factors of 33009 that divides 33009 without a remainder.

1, 3, 11003

Step-4: Factors of 33024

List of positive integer factors of 33024 that divides 33009 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 128, 129, 172, 192, 256, 258, 344, 384, 516, 688, 768, 1032, 1376, 2064, 2752, 4128, 5504, 8256, 11008, 16512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33009 and 33024. The biggest common factor number is the GCF number.
So the greatest common factor 33009 and 33024 is 3.

Also check out the Least Common Multiple of 33009 and 33024