What is the Greatest Common Factor of 6024 and 6039?

Greatest common factor (GCF) of 6024 and 6039 is 3.

GCF(6024,6039) = 3

We will now calculate the prime factors of 6024 and 6039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6024 and 6039.

How to find the GCF of 6024 and 6039?

We will first find the prime factorization of 6024 and 6039. After we will calculate the factors of 6024 and 6039 and find the biggest common factor number .

Step-1: Prime Factorization of 6024

Prime factors of 6024 are 2, 3, 251. Prime factorization of 6024 in exponential form is:

6024 = 2³ × 3¹ × 251¹

Step-2: Prime Factorization of 6039

Prime factors of 6039 are 3, 11, 61. Prime factorization of 6039 in exponential form is:

6039 = 3² × 11¹ × 61¹

Step-3: Factors of 6024

List of positive integer factors of 6024 that divides 6024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012

Step-4: Factors of 6039

List of positive integer factors of 6039 that divides 6024 without a remainder.

1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6024 and 6039. The biggest common factor number is the GCF number.
So the greatest common factor 6024 and 6039 is 3.

Also check out the Least Common Multiple of 6024 and 6039