What is the Greatest Common Factor of 17334 and 17351?

Greatest common factor (GCF) of 17334 and 17351 is 1.

GCF(17334,17351) = 1

We will now calculate the prime factors of 17334 and 17351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17334 and 17351.

How to find the GCF of 17334 and 17351?

We will first find the prime factorization of 17334 and 17351. After we will calculate the factors of 17334 and 17351 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 17351

Prime factors of 17351 are 17351. Prime factorization of 17351 in exponential form is:

17351 = 17351¹

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 17351

List of positive integer factors of 17351 that divides 17334 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17334 and 17351. The biggest common factor number is the GCF number.
So the greatest common factor 17334 and 17351 is 1.

Also check out the Least Common Multiple of 17334 and 17351