What is the Greatest Common Factor of 3024 and 3031?

Greatest common factor (GCF) of 3024 and 3031 is 7.

GCF(3024,3031) = 7

We will now calculate the prime factors of 3024 and 3031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3024 and 3031.

How to find the GCF of 3024 and 3031?

We will first find the prime factorization of 3024 and 3031. After we will calculate the factors of 3024 and 3031 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 3031

Prime factors of 3031 are 7, 433. Prime factorization of 3031 in exponential form is:

3031 = 7¹ × 433¹

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 3031

List of positive integer factors of 3031 that divides 3024 without a remainder.

1, 7, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3024 and 3031. The biggest common factor number is the GCF number.
So the greatest common factor 3024 and 3031 is 7.

Also check out the Least Common Multiple of 3024 and 3031