What is the Greatest Common Factor of 18729 and 18744?

Greatest common factor (GCF) of 18729 and 18744 is 3.

GCF(18729,18744) = 3

We will now calculate the prime factors of 18729 and 18744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18729 and 18744.

How to find the GCF of 18729 and 18744?

We will first find the prime factorization of 18729 and 18744. After we will calculate the factors of 18729 and 18744 and find the biggest common factor number .

Step-1: Prime Factorization of 18729

Prime factors of 18729 are 3, 2081. Prime factorization of 18729 in exponential form is:

18729 = 3² × 2081¹

Step-2: Prime Factorization of 18744

Prime factors of 18744 are 2, 3, 11, 71. Prime factorization of 18744 in exponential form is:

18744 = 2³ × 3¹ × 11¹ × 71¹

Step-3: Factors of 18729

List of positive integer factors of 18729 that divides 18729 without a remainder.

1, 3, 9, 2081, 6243

Step-4: Factors of 18744

List of positive integer factors of 18744 that divides 18729 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 71, 88, 132, 142, 213, 264, 284, 426, 568, 781, 852, 1562, 1704, 2343, 3124, 4686, 6248, 9372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18729 and 18744. The biggest common factor number is the GCF number.
So the greatest common factor 18729 and 18744 is 3.

Also check out the Least Common Multiple of 18729 and 18744