What is the Greatest Common Factor of 14320 and 14338?

Greatest common factor (GCF) of 14320 and 14338 is 2.

GCF(14320,14338) = 2

We will now calculate the prime factors of 14320 and 14338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14320 and 14338.

How to find the GCF of 14320 and 14338?

We will first find the prime factorization of 14320 and 14338. After we will calculate the factors of 14320 and 14338 and find the biggest common factor number .

Step-1: Prime Factorization of 14320

Prime factors of 14320 are 2, 5, 179. Prime factorization of 14320 in exponential form is:

14320 = 2⁴ × 5¹ × 179¹

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 14320

List of positive integer factors of 14320 that divides 14320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 179, 358, 716, 895, 1432, 1790, 2864, 3580, 7160

Step-4: Factors of 14338

List of positive integer factors of 14338 that divides 14320 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14320 and 14338. The biggest common factor number is the GCF number.
So the greatest common factor 14320 and 14338 is 2.

Also check out the Least Common Multiple of 14320 and 14338