What is the Greatest Common Factor of 14330 and 14338?

Greatest common factor (GCF) of 14330 and 14338 is 2.

GCF(14330,14338) = 2

We will now calculate the prime factors of 14330 and 14338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14330 and 14338.

How to find the GCF of 14330 and 14338?

We will first find the prime factorization of 14330 and 14338. After we will calculate the factors of 14330 and 14338 and find the biggest common factor number .

Step-1: Prime Factorization of 14330

Prime factors of 14330 are 2, 5, 1433. Prime factorization of 14330 in exponential form is:

14330 = 2¹ × 5¹ × 1433¹

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 14330

List of positive integer factors of 14330 that divides 14330 without a remainder.

1, 2, 5, 10, 1433, 2866, 7165

Step-4: Factors of 14338

List of positive integer factors of 14338 that divides 14330 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14330 and 14338. The biggest common factor number is the GCF number.
So the greatest common factor 14330 and 14338 is 2.

Also check out the Least Common Multiple of 14330 and 14338