What is the Greatest Common Factor of 24132 and 24144?

Greatest common factor (GCF) of 24132 and 24144 is 12.

GCF(24132,24144) = 12

We will now calculate the prime factors of 24132 and 24144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24132 and 24144.

How to find the GCF of 24132 and 24144?

We will first find the prime factorization of 24132 and 24144. After we will calculate the factors of 24132 and 24144 and find the biggest common factor number .

Step-1: Prime Factorization of 24132

Prime factors of 24132 are 2, 3, 2011. Prime factorization of 24132 in exponential form is:

24132 = 2² × 3¹ × 2011¹

Step-2: Prime Factorization of 24144

Prime factors of 24144 are 2, 3, 503. Prime factorization of 24144 in exponential form is:

24144 = 2⁴ × 3¹ × 503¹

Step-3: Factors of 24132

List of positive integer factors of 24132 that divides 24132 without a remainder.

1, 2, 3, 4, 6, 12, 2011, 4022, 6033, 8044, 12066

Step-4: Factors of 24144

List of positive integer factors of 24144 that divides 24132 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 503, 1006, 1509, 2012, 3018, 4024, 6036, 8048, 12072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24132 and 24144. The biggest common factor number is the GCF number.
So the greatest common factor 24132 and 24144 is 12.

Also check out the Least Common Multiple of 24132 and 24144