What is the Greatest Common Factor of 17334 and 17342?

Greatest common factor (GCF) of 17334 and 17342 is 2.

GCF(17334,17342) = 2

We will now calculate the prime factors of 17334 and 17342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17334 and 17342.

How to find the GCF of 17334 and 17342?

We will first find the prime factorization of 17334 and 17342. After we will calculate the factors of 17334 and 17342 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 17342

Prime factors of 17342 are 2, 13, 23, 29. Prime factorization of 17342 in exponential form is:

17342 = 2¹ × 13¹ × 23¹ × 29¹

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 17342

List of positive integer factors of 17342 that divides 17334 without a remainder.

1, 2, 13, 23, 26, 29, 46, 58, 299, 377, 598, 667, 754, 1334, 8671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17334 and 17342. The biggest common factor number is the GCF number.
So the greatest common factor 17334 and 17342 is 2.

Also check out the Least Common Multiple of 17334 and 17342