What is the Greatest Common Factor of 17314 and 17321?

Greatest common factor (GCF) of 17314 and 17321 is 1.

GCF(17314,17321) = 1

We will now calculate the prime factors of 17314 and 17321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17314 and 17321.

How to find the GCF of 17314 and 17321?

We will first find the prime factorization of 17314 and 17321. After we will calculate the factors of 17314 and 17321 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 17321

Prime factors of 17321 are 17321. Prime factorization of 17321 in exponential form is:

17321 = 17321¹

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 17321

List of positive integer factors of 17321 that divides 17314 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17314 and 17321. The biggest common factor number is the GCF number.
So the greatest common factor 17314 and 17321 is 1.

Also check out the Least Common Multiple of 17314 and 17321