What is the Greatest Common Factor of 95728 and 95744?

Greatest common factor (GCF) of 95728 and 95744 is 16.

GCF(95728,95744) = 16

We will now calculate the prime factors of 95728 and 95744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95728 and 95744.

How to find the GCF of 95728 and 95744?

We will first find the prime factorization of 95728 and 95744. After we will calculate the factors of 95728 and 95744 and find the biggest common factor number .

Step-1: Prime Factorization of 95728

Prime factors of 95728 are 2, 31, 193. Prime factorization of 95728 in exponential form is:

95728 = 2⁴ × 31¹ × 193¹

Step-2: Prime Factorization of 95744

Prime factors of 95744 are 2, 11, 17. Prime factorization of 95744 in exponential form is:

95744 = 2⁹ × 11¹ × 17¹

Step-3: Factors of 95728

List of positive integer factors of 95728 that divides 95728 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 193, 248, 386, 496, 772, 1544, 3088, 5983, 11966, 23932, 47864

Step-4: Factors of 95744

List of positive integer factors of 95744 that divides 95728 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 64, 68, 88, 128, 136, 176, 187, 256, 272, 352, 374, 512, 544, 704, 748, 1088, 1408, 1496, 2176, 2816, 2992, 4352, 5632, 5984, 8704, 11968, 23936, 47872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95728 and 95744. The biggest common factor number is the GCF number.
So the greatest common factor 95728 and 95744 is 16.

Also check out the Least Common Multiple of 95728 and 95744