What is the Greatest Common Factor of 17314 and 17323?

Greatest common factor (GCF) of 17314 and 17323 is 1.

GCF(17314,17323) = 1

We will now calculate the prime factors of 17314 and 17323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17314 and 17323.

How to find the GCF of 17314 and 17323?

We will first find the prime factorization of 17314 and 17323. After we will calculate the factors of 17314 and 17323 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 17323

Prime factors of 17323 are 17, 1019. Prime factorization of 17323 in exponential form is:

17323 = 17¹ × 1019¹

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 17323

List of positive integer factors of 17323 that divides 17314 without a remainder.

1, 17, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17314 and 17323. The biggest common factor number is the GCF number.
So the greatest common factor 17314 and 17323 is 1.

Also check out the Least Common Multiple of 17314 and 17323