What is the Greatest Common Factor of 33024 and 33030?

Greatest common factor (GCF) of 33024 and 33030 is 6.

GCF(33024,33030) = 6

We will now calculate the prime factors of 33024 and 33030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33024 and 33030.

How to find the GCF of 33024 and 33030?

We will first find the prime factorization of 33024 and 33030. After we will calculate the factors of 33024 and 33030 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 33030

Prime factors of 33030 are 2, 3, 5, 367. Prime factorization of 33030 in exponential form is:

33030 = 2¹ × 3² × 5¹ × 367¹

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 33030

List of positive integer factors of 33030 that divides 33024 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 367, 734, 1101, 1835, 2202, 3303, 3670, 5505, 6606, 11010, 16515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33024 and 33030. The biggest common factor number is the GCF number.
So the greatest common factor 33024 and 33030 is 6.

Also check out the Least Common Multiple of 33024 and 33030