What is the Greatest Common Factor of 19323 and 19343?

Greatest common factor (GCF) of 19323 and 19343 is 1.

GCF(19323,19343) = 1

We will now calculate the prime factors of 19323 and 19343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19323 and 19343.

How to find the GCF of 19323 and 19343?

We will first find the prime factorization of 19323 and 19343. After we will calculate the factors of 19323 and 19343 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19343

Prime factors of 19343 are 23, 29. Prime factorization of 19343 in exponential form is:

19343 = 23¹ × 29²

Step-3: Factors of 19323

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

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

Step-4: Factors of 19343

List of positive integer factors of 19343 that divides 19323 without a remainder.

1, 23, 29, 667, 841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19323 and 19343. The biggest common factor number is the GCF number.
So the greatest common factor 19323 and 19343 is 1.

Also check out the Least Common Multiple of 19323 and 19343