What is the Greatest Common Factor of 17334 and 17354?

Greatest common factor (GCF) of 17334 and 17354 is 2.

GCF(17334,17354) = 2

We will now calculate the prime factors of 17334 and 17354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17334 and 17354.

How to find the GCF of 17334 and 17354?

We will first find the prime factorization of 17334 and 17354. After we will calculate the factors of 17334 and 17354 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 17354

Prime factors of 17354 are 2, 8677. Prime factorization of 17354 in exponential form is:

17354 = 2¹ × 8677¹

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 17354

List of positive integer factors of 17354 that divides 17334 without a remainder.

1, 2, 8677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17334 and 17354. The biggest common factor number is the GCF number.
So the greatest common factor 17334 and 17354 is 2.

Also check out the Least Common Multiple of 17334 and 17354