What is the Greatest Common Factor of 14928 and 14933?

Greatest common factor (GCF) of 14928 and 14933 is 1.

GCF(14928,14933) = 1

We will now calculate the prime factors of 14928 and 14933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14928 and 14933.

How to find the GCF of 14928 and 14933?

We will first find the prime factorization of 14928 and 14933. After we will calculate the factors of 14928 and 14933 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 14933

Prime factors of 14933 are 109, 137. Prime factorization of 14933 in exponential form is:

14933 = 109¹ × 137¹

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 14933

List of positive integer factors of 14933 that divides 14928 without a remainder.

1, 109, 137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14928 and 14933. The biggest common factor number is the GCF number.
So the greatest common factor 14928 and 14933 is 1.

Also check out the Least Common Multiple of 14928 and 14933