What is the Greatest Common Factor of 14338 and 14344?

Greatest common factor (GCF) of 14338 and 14344 is 2.

GCF(14338,14344) = 2

We will now calculate the prime factors of 14338 and 14344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14338 and 14344.

How to find the GCF of 14338 and 14344?

We will first find the prime factorization of 14338 and 14344. After we will calculate the factors of 14338 and 14344 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14344

Prime factors of 14344 are 2, 11, 163. Prime factorization of 14344 in exponential form is:

14344 = 2³ × 11¹ × 163¹

Step-3: Factors of 14338

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

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

Step-4: Factors of 14344

List of positive integer factors of 14344 that divides 14338 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 163, 326, 652, 1304, 1793, 3586, 7172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14338 and 14344. The biggest common factor number is the GCF number.
So the greatest common factor 14338 and 14344 is 2.

Also check out the Least Common Multiple of 14338 and 14344