What is the Greatest Common Factor of 19338 and 19344?

Greatest common factor (GCF) of 19338 and 19344 is 6.

GCF(19338,19344) = 6

We will now calculate the prime factors of 19338 and 19344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19338 and 19344.

How to find the GCF of 19338 and 19344?

We will first find the prime factorization of 19338 and 19344. After we will calculate the factors of 19338 and 19344 and find the biggest common factor number .

Step-1: Prime Factorization of 19338

Prime factors of 19338 are 2, 3, 11, 293. Prime factorization of 19338 in exponential form is:

19338 = 2¹ × 3¹ × 11¹ × 293¹

Step-2: Prime Factorization of 19344

Prime factors of 19344 are 2, 3, 13, 31. Prime factorization of 19344 in exponential form is:

19344 = 2⁴ × 3¹ × 13¹ × 31¹

Step-3: Factors of 19338

List of positive integer factors of 19338 that divides 19338 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 293, 586, 879, 1758, 3223, 6446, 9669

Step-4: Factors of 19344

List of positive integer factors of 19344 that divides 19338 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 31, 39, 48, 52, 62, 78, 93, 104, 124, 156, 186, 208, 248, 312, 372, 403, 496, 624, 744, 806, 1209, 1488, 1612, 2418, 3224, 4836, 6448, 9672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19338 and 19344. The biggest common factor number is the GCF number.
So the greatest common factor 19338 and 19344 is 6.

Also check out the Least Common Multiple of 19338 and 19344