What is the Greatest Common Factor of 24012 and 24016?

Greatest common factor (GCF) of 24012 and 24016 is 4.

GCF(24012,24016) = 4

We will now calculate the prime factors of 24012 and 24016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24012 and 24016.

How to find the GCF of 24012 and 24016?

We will first find the prime factorization of 24012 and 24016. After we will calculate the factors of 24012 and 24016 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 24016

Prime factors of 24016 are 2, 19, 79. Prime factorization of 24016 in exponential form is:

24016 = 2⁴ × 19¹ × 79¹

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 24016

List of positive integer factors of 24016 that divides 24012 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 79, 152, 158, 304, 316, 632, 1264, 1501, 3002, 6004, 12008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24012 and 24016. The biggest common factor number is the GCF number.
So the greatest common factor 24012 and 24016 is 4.

Also check out the Least Common Multiple of 24012 and 24016