What is the Greatest Common Factor of 14319 and 14338?

Greatest common factor (GCF) of 14319 and 14338 is 1.

GCF(14319,14338) = 1

We will now calculate the prime factors of 14319 and 14338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14319 and 14338.

How to find the GCF of 14319 and 14338?

We will first find the prime factorization of 14319 and 14338. After we will calculate the factors of 14319 and 14338 and find the biggest common factor number .

Step-1: Prime Factorization of 14319

Prime factors of 14319 are 3, 37, 43. Prime factorization of 14319 in exponential form is:

14319 = 3² × 37¹ × 43¹

Step-2: Prime Factorization of 14338

Prime factors of 14338 are 2, 67, 107. Prime factorization of 14338 in exponential form is:

14338 = 2¹ × 67¹ × 107¹

Step-3: Factors of 14319

List of positive integer factors of 14319 that divides 14319 without a remainder.

1, 3, 9, 37, 43, 111, 129, 333, 387, 1591, 4773

Step-4: Factors of 14338

List of positive integer factors of 14338 that divides 14319 without a remainder.

1, 2, 67, 107, 134, 214, 7169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14319 and 14338. The biggest common factor number is the GCF number.
So the greatest common factor 14319 and 14338 is 1.

Also check out the Least Common Multiple of 14319 and 14338