What is the Greatest Common Factor of 14928 and 14944?

Greatest common factor (GCF) of 14928 and 14944 is 16.

GCF(14928,14944) = 16

We will now calculate the prime factors of 14928 and 14944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14928 and 14944.

How to find the GCF of 14928 and 14944?

We will first find the prime factorization of 14928 and 14944. After we will calculate the factors of 14928 and 14944 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14944

Prime factors of 14944 are 2, 467. Prime factorization of 14944 in exponential form is:

14944 = 2⁵ × 467¹

Step-3: Factors of 14928

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

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

Step-4: Factors of 14944

List of positive integer factors of 14944 that divides 14928 without a remainder.

1, 2, 4, 8, 16, 32, 467, 934, 1868, 3736, 7472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14928 and 14944. The biggest common factor number is the GCF number.
So the greatest common factor 14928 and 14944 is 16.

Also check out the Least Common Multiple of 14928 and 14944