What is the Greatest Common Factor of 3007 and 3024?

Greatest common factor (GCF) of 3007 and 3024 is 1.

GCF(3007,3024) = 1

We will now calculate the prime factors of 3007 and 3024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3007 and 3024.

How to find the GCF of 3007 and 3024?

We will first find the prime factorization of 3007 and 3024. After we will calculate the factors of 3007 and 3024 and find the biggest common factor number .

Step-1: Prime Factorization of 3007

Prime factors of 3007 are 31, 97. Prime factorization of 3007 in exponential form is:

3007 = 31¹ × 97¹

Step-2: 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-3: Factors of 3007

List of positive integer factors of 3007 that divides 3007 without a remainder.

1, 31, 97

Step-4: Factors of 3024

List of positive integer factors of 3024 that divides 3007 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3007 and 3024. The biggest common factor number is the GCF number.
So the greatest common factor 3007 and 3024 is 1.

Also check out the Least Common Multiple of 3007 and 3024