What is the Greatest Common Factor of 3024 and 3033?

Greatest common factor (GCF) of 3024 and 3033 is 9.

GCF(3024,3033) = 9

We will now calculate the prime factors of 3024 and 3033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3024 and 3033.

How to find the GCF of 3024 and 3033?

We will first find the prime factorization of 3024 and 3033. After we will calculate the factors of 3024 and 3033 and find the biggest common factor number .

Step-1: Prime Factorization of 3024

Prime factors of 3024 are 2, 3, 7. Prime factorization of 3024 in exponential form is:

3024 = 2⁴ × 3³ × 7¹

Step-2: Prime Factorization of 3033

Prime factors of 3033 are 3, 337. Prime factorization of 3033 in exponential form is:

3033 = 3² × 337¹

Step-3: Factors of 3024

List of positive integer factors of 3024 that divides 3024 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512

Step-4: Factors of 3033

List of positive integer factors of 3033 that divides 3024 without a remainder.

1, 3, 9, 337, 1011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3024 and 3033. The biggest common factor number is the GCF number.
So the greatest common factor 3024 and 3033 is 9.

Also check out the Least Common Multiple of 3024 and 3033