What is the Greatest Common Factor of 57709 and 57728?

Greatest common factor (GCF) of 57709 and 57728 is 1.

GCF(57709,57728) = 1

We will now calculate the prime factors of 57709 and 57728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57709 and 57728.

How to find the GCF of 57709 and 57728?

We will first find the prime factorization of 57709 and 57728. After we will calculate the factors of 57709 and 57728 and find the biggest common factor number .

Step-1: Prime Factorization of 57709

Prime factors of 57709 are 57709. Prime factorization of 57709 in exponential form is:

57709 = 57709¹

Step-2: 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-3: Factors of 57709

List of positive integer factors of 57709 that divides 57709 without a remainder.

Step-4: Factors of 57728

List of positive integer factors of 57728 that divides 57709 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57709 and 57728. The biggest common factor number is the GCF number.
So the greatest common factor 57709 and 57728 is 1.

Also check out the Least Common Multiple of 57709 and 57728