What is the Greatest Common Factor of 33024 and 33038?

Greatest common factor (GCF) of 33024 and 33038 is 2.

GCF(33024,33038) = 2

We will now calculate the prime factors of 33024 and 33038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33024 and 33038.

How to find the GCF of 33024 and 33038?

We will first find the prime factorization of 33024 and 33038. After we will calculate the factors of 33024 and 33038 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33038

Prime factors of 33038 are 2, 16519. Prime factorization of 33038 in exponential form is:

33038 = 2¹ × 16519¹

Step-3: Factors of 33024

List of positive integer factors of 33024 that divides 33024 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

Step-4: Factors of 33038

List of positive integer factors of 33038 that divides 33024 without a remainder.

1, 2, 16519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33024 and 33038. The biggest common factor number is the GCF number.
So the greatest common factor 33024 and 33038 is 2.

Also check out the Least Common Multiple of 33024 and 33038