What is the Greatest Common Factor of 17314 and 17326?

Greatest common factor (GCF) of 17314 and 17326 is 2.

GCF(17314,17326) = 2

We will now calculate the prime factors of 17314 and 17326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17314 and 17326.

How to find the GCF of 17314 and 17326?

We will first find the prime factorization of 17314 and 17326. After we will calculate the factors of 17314 and 17326 and find the biggest common factor number .

Step-1: Prime Factorization of 17314

Prime factors of 17314 are 2, 11, 787. Prime factorization of 17314 in exponential form is:

17314 = 2¹ × 11¹ × 787¹

Step-2: Prime Factorization of 17326

Prime factors of 17326 are 2, 8663. Prime factorization of 17326 in exponential form is:

17326 = 2¹ × 8663¹

Step-3: Factors of 17314

List of positive integer factors of 17314 that divides 17314 without a remainder.

1, 2, 11, 22, 787, 1574, 8657

Step-4: Factors of 17326

List of positive integer factors of 17326 that divides 17314 without a remainder.

1, 2, 8663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17314 and 17326. The biggest common factor number is the GCF number.
So the greatest common factor 17314 and 17326 is 2.

Also check out the Least Common Multiple of 17314 and 17326