What is the Greatest Common Factor of 18737 and 18744?

Greatest common factor (GCF) of 18737 and 18744 is 1.

GCF(18737,18744) = 1

We will now calculate the prime factors of 18737 and 18744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18737 and 18744.

How to find the GCF of 18737 and 18744?

We will first find the prime factorization of 18737 and 18744. After we will calculate the factors of 18737 and 18744 and find the biggest common factor number .

Step-1: Prime Factorization of 18737

Prime factors of 18737 are 41, 457. Prime factorization of 18737 in exponential form is:

18737 = 41¹ × 457¹

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 18737

List of positive integer factors of 18737 that divides 18737 without a remainder.

1, 41, 457

Step-4: Factors of 18744

List of positive integer factors of 18744 that divides 18737 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 18737 and 18744. The biggest common factor number is the GCF number.
So the greatest common factor 18737 and 18744 is 1.

Also check out the Least Common Multiple of 18737 and 18744