What is the Greatest Common Factor of 24123 and 24132?

Greatest common factor (GCF) of 24123 and 24132 is 3.

GCF(24123,24132) = 3

We will now calculate the prime factors of 24123 and 24132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24123 and 24132.

How to find the GCF of 24123 and 24132?

We will first find the prime factorization of 24123 and 24132. After we will calculate the factors of 24123 and 24132 and find the biggest common factor number .

Step-1: Prime Factorization of 24123

Prime factors of 24123 are 3, 11, 17, 43. Prime factorization of 24123 in exponential form is:

24123 = 3¹ × 11¹ × 17¹ × 43¹

Step-2: 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-3: Factors of 24123

List of positive integer factors of 24123 that divides 24123 without a remainder.

1, 3, 11, 17, 33, 43, 51, 129, 187, 473, 561, 731, 1419, 2193, 8041

Step-4: Factors of 24132

List of positive integer factors of 24132 that divides 24123 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24123 and 24132. The biggest common factor number is the GCF number.
So the greatest common factor 24123 and 24132 is 3.

Also check out the Least Common Multiple of 24123 and 24132