What is the Greatest Common Factor of 24012 and 24028?

Greatest common factor (GCF) of 24012 and 24028 is 4.

GCF(24012,24028) = 4

We will now calculate the prime factors of 24012 and 24028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24012 and 24028.

How to find the GCF of 24012 and 24028?

We will first find the prime factorization of 24012 and 24028. After we will calculate the factors of 24012 and 24028 and find the biggest common factor number .

Step-1: Prime Factorization of 24012

Prime factors of 24012 are 2, 3, 23, 29. Prime factorization of 24012 in exponential form is:

24012 = 2² × 3² × 23¹ × 29¹

Step-2: Prime Factorization of 24028

Prime factors of 24028 are 2, 6007. Prime factorization of 24028 in exponential form is:

24028 = 2² × 6007¹

Step-3: Factors of 24012

List of positive integer factors of 24012 that divides 24012 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 29, 36, 46, 58, 69, 87, 92, 116, 138, 174, 207, 261, 276, 348, 414, 522, 667, 828, 1044, 1334, 2001, 2668, 4002, 6003, 8004, 12006

Step-4: Factors of 24028

List of positive integer factors of 24028 that divides 24012 without a remainder.

1, 2, 4, 6007, 12014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24012 and 24028. The biggest common factor number is the GCF number.
So the greatest common factor 24012 and 24028 is 4.

Also check out the Least Common Multiple of 24012 and 24028