What is the Greatest Common Factor of 57712 and 57728?

Greatest common factor (GCF) of 57712 and 57728 is 16.

GCF(57712,57728) = 16

We will now calculate the prime factors of 57712 and 57728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57712 and 57728.

How to find the GCF of 57712 and 57728?

We will first find the prime factorization of 57712 and 57728. After we will calculate the factors of 57712 and 57728 and find the biggest common factor number .

Step-1: Prime Factorization of 57712

Prime factors of 57712 are 2, 3607. Prime factorization of 57712 in exponential form is:

57712 = 2⁴ × 3607¹

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 57712

List of positive integer factors of 57712 that divides 57712 without a remainder.

1, 2, 4, 8, 16, 3607, 7214, 14428, 28856

Step-4: Factors of 57728

List of positive integer factors of 57728 that divides 57712 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 57712 and 57728. The biggest common factor number is the GCF number.
So the greatest common factor 57712 and 57728 is 16.

Also check out the Least Common Multiple of 57712 and 57728