What is the Greatest Common Factor of 96288 and 96305?

Greatest common factor (GCF) of 96288 and 96305 is 17.

GCF(96288,96305) = 17

We will now calculate the prime factors of 96288 and 96305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96288 and 96305.

How to find the GCF of 96288 and 96305?

We will first find the prime factorization of 96288 and 96305. After we will calculate the factors of 96288 and 96305 and find the biggest common factor number .

Step-1: Prime Factorization of 96288

Prime factors of 96288 are 2, 3, 17, 59. Prime factorization of 96288 in exponential form is:

96288 = 2⁵ × 3¹ × 17¹ × 59¹

Step-2: Prime Factorization of 96305

Prime factors of 96305 are 5, 11, 17, 103. Prime factorization of 96305 in exponential form is:

96305 = 5¹ × 11¹ × 17¹ × 103¹

Step-3: Factors of 96288

List of positive integer factors of 96288 that divides 96288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 59, 68, 96, 102, 118, 136, 177, 204, 236, 272, 354, 408, 472, 544, 708, 816, 944, 1003, 1416, 1632, 1888, 2006, 2832, 3009, 4012, 5664, 6018, 8024, 12036, 16048, 24072, 32096, 48144

Step-4: Factors of 96305

List of positive integer factors of 96305 that divides 96288 without a remainder.

1, 5, 11, 17, 55, 85, 103, 187, 515, 935, 1133, 1751, 5665, 8755, 19261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96288 and 96305. The biggest common factor number is the GCF number.
So the greatest common factor 96288 and 96305 is 17.

Also check out the Least Common Multiple of 96288 and 96305