What is the Greatest Common Factor of 19344 and 19364?

Greatest common factor (GCF) of 19344 and 19364 is 4.

GCF(19344,19364) = 4

We will now calculate the prime factors of 19344 and 19364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19344 and 19364.

How to find the GCF of 19344 and 19364?

We will first find the prime factorization of 19344 and 19364. After we will calculate the factors of 19344 and 19364 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19364

Prime factors of 19364 are 2, 47, 103. Prime factorization of 19364 in exponential form is:

19364 = 2² × 47¹ × 103¹

Step-3: Factors of 19344

List of positive integer factors of 19344 that divides 19344 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

Step-4: Factors of 19364

List of positive integer factors of 19364 that divides 19344 without a remainder.

1, 2, 4, 47, 94, 103, 188, 206, 412, 4841, 9682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19344 and 19364. The biggest common factor number is the GCF number.
So the greatest common factor 19344 and 19364 is 4.

Also check out the Least Common Multiple of 19344 and 19364