What is the Greatest Common Factor of 12024 and 12036?

Greatest common factor (GCF) of 12024 and 12036 is 12.

GCF(12024,12036) = 12

We will now calculate the prime factors of 12024 and 12036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12024 and 12036.

How to find the GCF of 12024 and 12036?

We will first find the prime factorization of 12024 and 12036. After we will calculate the factors of 12024 and 12036 and find the biggest common factor number .

Step-1: Prime Factorization of 12024

Prime factors of 12024 are 2, 3, 167. Prime factorization of 12024 in exponential form is:

12024 = 2³ × 3² × 167¹

Step-2: Prime Factorization of 12036

Prime factors of 12036 are 2, 3, 17, 59. Prime factorization of 12036 in exponential form is:

12036 = 2² × 3¹ × 17¹ × 59¹

Step-3: Factors of 12024

List of positive integer factors of 12024 that divides 12024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 167, 334, 501, 668, 1002, 1336, 1503, 2004, 3006, 4008, 6012

Step-4: Factors of 12036

List of positive integer factors of 12036 that divides 12024 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 59, 68, 102, 118, 177, 204, 236, 354, 708, 1003, 2006, 3009, 4012, 6018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12024 and 12036. The biggest common factor number is the GCF number.
So the greatest common factor 12024 and 12036 is 12.

Also check out the Least Common Multiple of 12024 and 12036