What is the Greatest Common Factor of 14416 and 14432?

Greatest common factor (GCF) of 14416 and 14432 is 16.

GCF(14416,14432) = 16

We will now calculate the prime factors of 14416 and 14432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14416 and 14432.

How to find the GCF of 14416 and 14432?

We will first find the prime factorization of 14416 and 14432. After we will calculate the factors of 14416 and 14432 and find the biggest common factor number .

Step-1: Prime Factorization of 14416

Prime factors of 14416 are 2, 17, 53. Prime factorization of 14416 in exponential form is:

14416 = 2⁴ × 17¹ × 53¹

Step-2: 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-3: Factors of 14416

List of positive integer factors of 14416 that divides 14416 without a remainder.

1, 2, 4, 8, 16, 17, 34, 53, 68, 106, 136, 212, 272, 424, 848, 901, 1802, 3604, 7208

Step-4: Factors of 14432

List of positive integer factors of 14432 that divides 14416 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14416 and 14432. The biggest common factor number is the GCF number.
So the greatest common factor 14416 and 14432 is 16.

Also check out the Least Common Multiple of 14416 and 14432