What is the Greatest Common Factor of 17316 and 17329?

Greatest common factor (GCF) of 17316 and 17329 is 13.

GCF(17316,17329) = 13

We will now calculate the prime factors of 17316 and 17329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17316 and 17329.

How to find the GCF of 17316 and 17329?

We will first find the prime factorization of 17316 and 17329. After we will calculate the factors of 17316 and 17329 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17329

Prime factors of 17329 are 13, 31, 43. Prime factorization of 17329 in exponential form is:

17329 = 13¹ × 31¹ × 43¹

Step-3: Factors of 17316

List of positive integer factors of 17316 that divides 17316 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

Step-4: Factors of 17329

List of positive integer factors of 17329 that divides 17316 without a remainder.

1, 13, 31, 43, 403, 559, 1333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17316 and 17329. The biggest common factor number is the GCF number.
So the greatest common factor 17316 and 17329 is 13.

Also check out the Least Common Multiple of 17316 and 17329