What is the Greatest Common Factor of 57710 and 57728?

Greatest common factor (GCF) of 57710 and 57728 is 2.

GCF(57710,57728) = 2

We will now calculate the prime factors of 57710 and 57728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57710 and 57728.

How to find the GCF of 57710 and 57728?

We will first find the prime factorization of 57710 and 57728. After we will calculate the factors of 57710 and 57728 and find the biggest common factor number .

Step-1: Prime Factorization of 57710

Prime factors of 57710 are 2, 5, 29, 199. Prime factorization of 57710 in exponential form is:

57710 = 2¹ × 5¹ × 29¹ × 199¹

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 57710

List of positive integer factors of 57710 that divides 57710 without a remainder.

1, 2, 5, 10, 29, 58, 145, 199, 290, 398, 995, 1990, 5771, 11542, 28855

Step-4: Factors of 57728

List of positive integer factors of 57728 that divides 57710 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 57710 and 57728. The biggest common factor number is the GCF number.
So the greatest common factor 57710 and 57728 is 2.

Also check out the Least Common Multiple of 57710 and 57728