What is the Greatest Common Factor of 17319 and 17338?

Greatest common factor (GCF) of 17319 and 17338 is 1.

GCF(17319,17338) = 1

We will now calculate the prime factors of 17319 and 17338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17319 and 17338.

How to find the GCF of 17319 and 17338?

We will first find the prime factorization of 17319 and 17338. After we will calculate the factors of 17319 and 17338 and find the biggest common factor number .

Step-1: Prime Factorization of 17319

Prime factors of 17319 are 3, 23, 251. Prime factorization of 17319 in exponential form is:

17319 = 3¹ × 23¹ × 251¹

Step-2: Prime Factorization of 17338

Prime factors of 17338 are 2, 8669. Prime factorization of 17338 in exponential form is:

17338 = 2¹ × 8669¹

Step-3: Factors of 17319

List of positive integer factors of 17319 that divides 17319 without a remainder.

1, 3, 23, 69, 251, 753, 5773

Step-4: Factors of 17338

List of positive integer factors of 17338 that divides 17319 without a remainder.

1, 2, 8669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17319 and 17338. The biggest common factor number is the GCF number.
So the greatest common factor 17319 and 17338 is 1.

Also check out the Least Common Multiple of 17319 and 17338