What is the Greatest Common Factor of 3024 and 3042?

Greatest common factor (GCF) of 3024 and 3042 is 18.

GCF(3024,3042) = 18

We will now calculate the prime factors of 3024 and 3042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3024 and 3042.

How to find the GCF of 3024 and 3042?

We will first find the prime factorization of 3024 and 3042. After we will calculate the factors of 3024 and 3042 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 3042

Prime factors of 3042 are 2, 3, 13. Prime factorization of 3042 in exponential form is:

3042 = 2¹ × 3² × 13²

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 3042

List of positive integer factors of 3042 that divides 3024 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3024 and 3042. The biggest common factor number is the GCF number.
So the greatest common factor 3024 and 3042 is 18.

Also check out the Least Common Multiple of 3024 and 3042