What is the Greatest Common Factor of 4928 and 4933?

Greatest common factor (GCF) of 4928 and 4933 is 1.

GCF(4928,4933) = 1

We will now calculate the prime factors of 4928 and 4933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4928 and 4933.

How to find the GCF of 4928 and 4933?

We will first find the prime factorization of 4928 and 4933. After we will calculate the factors of 4928 and 4933 and find the biggest common factor number .

Step-1: Prime Factorization of 4928

Prime factors of 4928 are 2, 7, 11. Prime factorization of 4928 in exponential form is:

4928 = 2⁶ × 7¹ × 11¹

Step-2: Prime Factorization of 4933

Prime factors of 4933 are 4933. Prime factorization of 4933 in exponential form is:

4933 = 4933¹

Step-3: Factors of 4928

List of positive integer factors of 4928 that divides 4928 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464

Step-4: Factors of 4933

List of positive integer factors of 4933 that divides 4928 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4928 and 4933. The biggest common factor number is the GCF number.
So the greatest common factor 4928 and 4933 is 1.

Also check out the Least Common Multiple of 4928 and 4933