What is the Greatest Common Factor of 3024 and 3038?

Greatest common factor (GCF) of 3024 and 3038 is 14.

GCF(3024,3038) = 14

We will now calculate the prime factors of 3024 and 3038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3024 and 3038.

How to find the GCF of 3024 and 3038?

We will first find the prime factorization of 3024 and 3038. After we will calculate the factors of 3024 and 3038 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 3038

Prime factors of 3038 are 2, 7, 31. Prime factorization of 3038 in exponential form is:

3038 = 2¹ × 7² × 31¹

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 3038

List of positive integer factors of 3038 that divides 3024 without a remainder.

1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3024 and 3038. The biggest common factor number is the GCF number.
So the greatest common factor 3024 and 3038 is 14.

Also check out the Least Common Multiple of 3024 and 3038