What is the Greatest Common Factor of 17313 and 17329?

Greatest common factor (GCF) of 17313 and 17329 is 1.

GCF(17313,17329) = 1

We will now calculate the prime factors of 17313 and 17329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17313 and 17329.

How to find the GCF of 17313 and 17329?

We will first find the prime factorization of 17313 and 17329. After we will calculate the factors of 17313 and 17329 and find the biggest common factor number .

Step-1: Prime Factorization of 17313

Prime factors of 17313 are 3, 29, 199. Prime factorization of 17313 in exponential form is:

17313 = 3¹ × 29¹ × 199¹

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 17313

List of positive integer factors of 17313 that divides 17313 without a remainder.

1, 3, 29, 87, 199, 597, 5771

Step-4: Factors of 17329

List of positive integer factors of 17329 that divides 17313 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17313 and 17329. The biggest common factor number is the GCF number.
So the greatest common factor 17313 and 17329 is 1.

Also check out the Least Common Multiple of 17313 and 17329