What is the Greatest Common Factor of 14432 and 14449?

Greatest common factor (GCF) of 14432 and 14449 is 1.

GCF(14432,14449) = 1

We will now calculate the prime factors of 14432 and 14449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14432 and 14449.

How to find the GCF of 14432 and 14449?

We will first find the prime factorization of 14432 and 14449. After we will calculate the factors of 14432 and 14449 and find the biggest common factor number .

Step-1: Prime Factorization of 14432

Prime factors of 14432 are 2, 11, 41. Prime factorization of 14432 in exponential form is:

14432 = 2⁵ × 11¹ × 41¹

Step-2: Prime Factorization of 14449

Prime factors of 14449 are 14449. Prime factorization of 14449 in exponential form is:

14449 = 14449¹

Step-3: Factors of 14432

List of positive integer factors of 14432 that divides 14432 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 41, 44, 82, 88, 164, 176, 328, 352, 451, 656, 902, 1312, 1804, 3608, 7216

Step-4: Factors of 14449

List of positive integer factors of 14449 that divides 14432 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14432 and 14449. The biggest common factor number is the GCF number.
So the greatest common factor 14432 and 14449 is 1.

Also check out the Least Common Multiple of 14432 and 14449