What is the Greatest Common Factor of 3024 and 3039?

Greatest common factor (GCF) of 3024 and 3039 is 3.

GCF(3024,3039) = 3

We will now calculate the prime factors of 3024 and 3039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3024 and 3039.

How to find the GCF of 3024 and 3039?

We will first find the prime factorization of 3024 and 3039. After we will calculate the factors of 3024 and 3039 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 3039

Prime factors of 3039 are 3, 1013. Prime factorization of 3039 in exponential form is:

3039 = 3¹ × 1013¹

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 3039

List of positive integer factors of 3039 that divides 3024 without a remainder.

1, 3, 1013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3024 and 3039. The biggest common factor number is the GCF number.
So the greatest common factor 3024 and 3039 is 3.

Also check out the Least Common Multiple of 3024 and 3039