What is the Greatest Common Factor of 57728 and 57748?

Greatest common factor (GCF) of 57728 and 57748 is 4.

GCF(57728,57748) = 4

We will now calculate the prime factors of 57728 and 57748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57728 and 57748.

How to find the GCF of 57728 and 57748?

We will first find the prime factorization of 57728 and 57748. After we will calculate the factors of 57728 and 57748 and find the biggest common factor number .

Step-1: Prime Factorization of 57728

Prime factors of 57728 are 2, 11, 41. Prime factorization of 57728 in exponential form is:

57728 = 2⁷ × 11¹ × 41¹

Step-2: Prime Factorization of 57748

Prime factors of 57748 are 2, 14437. Prime factorization of 57748 in exponential form is:

57748 = 2² × 14437¹

Step-3: Factors of 57728

List of positive integer factors of 57728 that divides 57728 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 41, 44, 64, 82, 88, 128, 164, 176, 328, 352, 451, 656, 704, 902, 1312, 1408, 1804, 2624, 3608, 5248, 7216, 14432, 28864

Step-4: Factors of 57748

List of positive integer factors of 57748 that divides 57728 without a remainder.

1, 2, 4, 14437, 28874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57728 and 57748. The biggest common factor number is the GCF number.
So the greatest common factor 57728 and 57748 is 4.

Also check out the Least Common Multiple of 57728 and 57748