What is the Greatest Common Factor of 14912 and 14928?

Greatest common factor (GCF) of 14912 and 14928 is 16.

GCF(14912,14928) = 16

We will now calculate the prime factors of 14912 and 14928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14912 and 14928.

How to find the GCF of 14912 and 14928?

We will first find the prime factorization of 14912 and 14928. After we will calculate the factors of 14912 and 14928 and find the biggest common factor number .

Step-1: Prime Factorization of 14912

Prime factors of 14912 are 2, 233. Prime factorization of 14912 in exponential form is:

14912 = 2⁶ × 233¹

Step-2: Prime Factorization of 14928

Prime factors of 14928 are 2, 3, 311. Prime factorization of 14928 in exponential form is:

14928 = 2⁴ × 3¹ × 311¹

Step-3: Factors of 14912

List of positive integer factors of 14912 that divides 14912 without a remainder.

1, 2, 4, 8, 16, 32, 64, 233, 466, 932, 1864, 3728, 7456

Step-4: Factors of 14928

List of positive integer factors of 14928 that divides 14912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 311, 622, 933, 1244, 1866, 2488, 3732, 4976, 7464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14912 and 14928. The biggest common factor number is the GCF number.
So the greatest common factor 14912 and 14928 is 16.

Also check out the Least Common Multiple of 14912 and 14928