What is the Greatest Common Factor of 17328 and 17346?

Greatest common factor (GCF) of 17328 and 17346 is 6.

GCF(17328,17346) = 6

We will now calculate the prime factors of 17328 and 17346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17328 and 17346.

How to find the GCF of 17328 and 17346?

We will first find the prime factorization of 17328 and 17346. After we will calculate the factors of 17328 and 17346 and find the biggest common factor number .

Step-1: Prime Factorization of 17328

Prime factors of 17328 are 2, 3, 19. Prime factorization of 17328 in exponential form is:

17328 = 2⁴ × 3¹ × 19²

Step-2: Prime Factorization of 17346

Prime factors of 17346 are 2, 3, 7, 59. Prime factorization of 17346 in exponential form is:

17346 = 2¹ × 3¹ × 7² × 59¹

Step-3: Factors of 17328

List of positive integer factors of 17328 that divides 17328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 361, 456, 722, 912, 1083, 1444, 2166, 2888, 4332, 5776, 8664

Step-4: Factors of 17346

List of positive integer factors of 17346 that divides 17328 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 59, 98, 118, 147, 177, 294, 354, 413, 826, 1239, 2478, 2891, 5782, 8673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17328 and 17346. The biggest common factor number is the GCF number.
So the greatest common factor 17328 and 17346 is 6.

Also check out the Least Common Multiple of 17328 and 17346