What is the Greatest Common Factor of 57728 and 57739?

Greatest common factor (GCF) of 57728 and 57739 is 11.

GCF(57728,57739) = 11

We will now calculate the prime factors of 57728 and 57739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57728 and 57739.

How to find the GCF of 57728 and 57739?

We will first find the prime factorization of 57728 and 57739. After we will calculate the factors of 57728 and 57739 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 57739

Prime factors of 57739 are 11, 29, 181. Prime factorization of 57739 in exponential form is:

57739 = 11¹ × 29¹ × 181¹

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 57739

List of positive integer factors of 57739 that divides 57728 without a remainder.

1, 11, 29, 181, 319, 1991, 5249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57728 and 57739. The biggest common factor number is the GCF number.
So the greatest common factor 57728 and 57739 is 11.

Also check out the Least Common Multiple of 57728 and 57739