What is the Greatest Common Factor of 19304 and 19323?

Greatest common factor (GCF) of 19304 and 19323 is 19.

GCF(19304,19323) = 19

We will now calculate the prime factors of 19304 and 19323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19304 and 19323.

How to find the GCF of 19304 and 19323?

We will first find the prime factorization of 19304 and 19323. After we will calculate the factors of 19304 and 19323 and find the biggest common factor number .

Step-1: Prime Factorization of 19304

Prime factors of 19304 are 2, 19, 127. Prime factorization of 19304 in exponential form is:

19304 = 2³ × 19¹ × 127¹

Step-2: Prime Factorization of 19323

Prime factors of 19323 are 3, 19, 113. Prime factorization of 19323 in exponential form is:

19323 = 3² × 19¹ × 113¹

Step-3: Factors of 19304

List of positive integer factors of 19304 that divides 19304 without a remainder.

1, 2, 4, 8, 19, 38, 76, 127, 152, 254, 508, 1016, 2413, 4826, 9652

Step-4: Factors of 19323

List of positive integer factors of 19323 that divides 19304 without a remainder.

1, 3, 9, 19, 57, 113, 171, 339, 1017, 2147, 6441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19304 and 19323. The biggest common factor number is the GCF number.
So the greatest common factor 19304 and 19323 is 19.

Also check out the Least Common Multiple of 19304 and 19323