What is the Greatest Common Factor of 14384 and 14398?

Greatest common factor (GCF) of 14384 and 14398 is 2.

GCF(14384,14398) = 2

We will now calculate the prime factors of 14384 and 14398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14384 and 14398.

How to find the GCF of 14384 and 14398?

We will first find the prime factorization of 14384 and 14398. After we will calculate the factors of 14384 and 14398 and find the biggest common factor number .

Step-1: Prime Factorization of 14384

Prime factors of 14384 are 2, 29, 31. Prime factorization of 14384 in exponential form is:

14384 = 2⁴ × 29¹ × 31¹

Step-2: Prime Factorization of 14398

Prime factors of 14398 are 2, 23, 313. Prime factorization of 14398 in exponential form is:

14398 = 2¹ × 23¹ × 313¹

Step-3: Factors of 14384

List of positive integer factors of 14384 that divides 14384 without a remainder.

1, 2, 4, 8, 16, 29, 31, 58, 62, 116, 124, 232, 248, 464, 496, 899, 1798, 3596, 7192

Step-4: Factors of 14398

List of positive integer factors of 14398 that divides 14384 without a remainder.

1, 2, 23, 46, 313, 626, 7199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14384 and 14398. The biggest common factor number is the GCF number.
So the greatest common factor 14384 and 14398 is 2.

Also check out the Least Common Multiple of 14384 and 14398