What is the Greatest Common Factor of 17284 and 17296?

Greatest common factor (GCF) of 17284 and 17296 is 4.

GCF(17284,17296) = 4

We will now calculate the prime factors of 17284 and 17296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17284 and 17296.

How to find the GCF of 17284 and 17296?

We will first find the prime factorization of 17284 and 17296. After we will calculate the factors of 17284 and 17296 and find the biggest common factor number .

Step-1: Prime Factorization of 17284

Prime factors of 17284 are 2, 29, 149. Prime factorization of 17284 in exponential form is:

17284 = 2² × 29¹ × 149¹

Step-2: Prime Factorization of 17296

Prime factors of 17296 are 2, 23, 47. Prime factorization of 17296 in exponential form is:

17296 = 2⁴ × 23¹ × 47¹

Step-3: Factors of 17284

List of positive integer factors of 17284 that divides 17284 without a remainder.

1, 2, 4, 29, 58, 116, 149, 298, 596, 4321, 8642

Step-4: Factors of 17296

List of positive integer factors of 17296 that divides 17284 without a remainder.

1, 2, 4, 8, 16, 23, 46, 47, 92, 94, 184, 188, 368, 376, 752, 1081, 2162, 4324, 8648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17284 and 17296. The biggest common factor number is the GCF number.
So the greatest common factor 17284 and 17296 is 4.

Also check out the Least Common Multiple of 17284 and 17296