What is the Greatest Common Factor of 17296 and 17316?

Greatest common factor (GCF) of 17296 and 17316 is 4.

GCF(17296,17316) = 4

We will now calculate the prime factors of 17296 and 17316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17296 and 17316.

How to find the GCF of 17296 and 17316?

We will first find the prime factorization of 17296 and 17316. After we will calculate the factors of 17296 and 17316 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17316

Prime factors of 17316 are 2, 3, 13, 37. Prime factorization of 17316 in exponential form is:

17316 = 2² × 3² × 13¹ × 37¹

Step-3: Factors of 17296

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

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

Step-4: Factors of 17316

List of positive integer factors of 17316 that divides 17296 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 37, 39, 52, 74, 78, 111, 117, 148, 156, 222, 234, 333, 444, 468, 481, 666, 962, 1332, 1443, 1924, 2886, 4329, 5772, 8658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17296 and 17316. The biggest common factor number is the GCF number.
So the greatest common factor 17296 and 17316 is 4.

Also check out the Least Common Multiple of 17296 and 17316