What is the Greatest Common Factor of 18744 and 18759?

Greatest common factor (GCF) of 18744 and 18759 is 3.

GCF(18744,18759) = 3

We will now calculate the prime factors of 18744 and 18759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18744 and 18759.

How to find the GCF of 18744 and 18759?

We will first find the prime factorization of 18744 and 18759. After we will calculate the factors of 18744 and 18759 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18759

Prime factors of 18759 are 3, 13, 37. Prime factorization of 18759 in exponential form is:

18759 = 3¹ × 13² × 37¹

Step-3: Factors of 18744

List of positive integer factors of 18744 that divides 18744 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

Step-4: Factors of 18759

List of positive integer factors of 18759 that divides 18744 without a remainder.

1, 3, 13, 37, 39, 111, 169, 481, 507, 1443, 6253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18744 and 18759. The biggest common factor number is the GCF number.
So the greatest common factor 18744 and 18759 is 3.

Also check out the Least Common Multiple of 18744 and 18759