What is the Greatest Common Factor of 57728 and 57746?

Greatest common factor (GCF) of 57728 and 57746 is 2.

GCF(57728,57746) = 2

We will now calculate the prime factors of 57728 and 57746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57728 and 57746.

How to find the GCF of 57728 and 57746?

We will first find the prime factorization of 57728 and 57746. After we will calculate the factors of 57728 and 57746 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 57746

Prime factors of 57746 are 2, 13, 2221. Prime factorization of 57746 in exponential form is:

57746 = 2¹ × 13¹ × 2221¹

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 57746

List of positive integer factors of 57746 that divides 57728 without a remainder.

1, 2, 13, 26, 2221, 4442, 28873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57728 and 57746. The biggest common factor number is the GCF number.
So the greatest common factor 57728 and 57746 is 2.

Also check out the Least Common Multiple of 57728 and 57746