What is the Greatest Common Factor of 14338 and 14356?

Greatest common factor (GCF) of 14338 and 14356 is 2.

GCF(14338,14356) = 2

We will now calculate the prime factors of 14338 and 14356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14338 and 14356.

How to find the GCF of 14338 and 14356?

We will first find the prime factorization of 14338 and 14356. After we will calculate the factors of 14338 and 14356 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 14356

Prime factors of 14356 are 2, 37, 97. Prime factorization of 14356 in exponential form is:

14356 = 2² × 37¹ × 97¹

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 14356

List of positive integer factors of 14356 that divides 14338 without a remainder.

1, 2, 4, 37, 74, 97, 148, 194, 388, 3589, 7178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14338 and 14356. The biggest common factor number is the GCF number.
So the greatest common factor 14338 and 14356 is 2.

Also check out the Least Common Multiple of 14338 and 14356