What is the Greatest Common Factor of 17334 and 17343?

Greatest common factor (GCF) of 17334 and 17343 is 9.

GCF(17334,17343) = 9

We will now calculate the prime factors of 17334 and 17343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17334 and 17343.

How to find the GCF of 17334 and 17343?

We will first find the prime factorization of 17334 and 17343. After we will calculate the factors of 17334 and 17343 and find the biggest common factor number .

Step-1: Prime Factorization of 17334

Prime factors of 17334 are 2, 3, 107. Prime factorization of 17334 in exponential form is:

17334 = 2¹ × 3⁴ × 107¹

Step-2: Prime Factorization of 17343

Prime factors of 17343 are 3, 41, 47. Prime factorization of 17343 in exponential form is:

17343 = 3² × 41¹ × 47¹

Step-3: Factors of 17334

List of positive integer factors of 17334 that divides 17334 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 107, 162, 214, 321, 642, 963, 1926, 2889, 5778, 8667

Step-4: Factors of 17343

List of positive integer factors of 17343 that divides 17334 without a remainder.

1, 3, 9, 41, 47, 123, 141, 369, 423, 1927, 5781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17334 and 17343. The biggest common factor number is the GCF number.
So the greatest common factor 17334 and 17343 is 9.

Also check out the Least Common Multiple of 17334 and 17343