What is the Greatest Common Factor of 4928 and 4935?

Greatest common factor (GCF) of 4928 and 4935 is 7.

GCF(4928,4935) = 7

We will now calculate the prime factors of 4928 and 4935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4928 and 4935.

How to find the GCF of 4928 and 4935?

We will first find the prime factorization of 4928 and 4935. After we will calculate the factors of 4928 and 4935 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 4935

Prime factors of 4935 are 3, 5, 7, 47. Prime factorization of 4935 in exponential form is:

4935 = 3¹ × 5¹ × 7¹ × 47¹

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 4935

List of positive integer factors of 4935 that divides 4928 without a remainder.

1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4928 and 4935. The biggest common factor number is the GCF number.
So the greatest common factor 4928 and 4935 is 7.

Also check out the Least Common Multiple of 4928 and 4935