What is the Greatest Common Factor of 24138 and 24156?

Greatest common factor (GCF) of 24138 and 24156 is 18.

GCF(24138,24156) = 18

We will now calculate the prime factors of 24138 and 24156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24138 and 24156.

How to find the GCF of 24138 and 24156?

We will first find the prime factorization of 24138 and 24156. After we will calculate the factors of 24138 and 24156 and find the biggest common factor number .

Step-1: Prime Factorization of 24138

Prime factors of 24138 are 2, 3, 149. Prime factorization of 24138 in exponential form is:

24138 = 2¹ × 3⁴ × 149¹

Step-2: Prime Factorization of 24156

Prime factors of 24156 are 2, 3, 11, 61. Prime factorization of 24156 in exponential form is:

24156 = 2² × 3² × 11¹ × 61¹

Step-3: Factors of 24138

List of positive integer factors of 24138 that divides 24138 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 149, 162, 298, 447, 894, 1341, 2682, 4023, 8046, 12069

Step-4: Factors of 24156

List of positive integer factors of 24156 that divides 24138 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 61, 66, 99, 122, 132, 183, 198, 244, 366, 396, 549, 671, 732, 1098, 1342, 2013, 2196, 2684, 4026, 6039, 8052, 12078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24138 and 24156. The biggest common factor number is the GCF number.
So the greatest common factor 24138 and 24156 is 18.

Also check out the Least Common Multiple of 24138 and 24156