What is the Greatest Common Factor of 96288 and 96308?

Greatest common factor (GCF) of 96288 and 96308 is 4.

GCF(96288,96308) = 4

We will now calculate the prime factors of 96288 and 96308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96288 and 96308.

How to find the GCF of 96288 and 96308?

We will first find the prime factorization of 96288 and 96308. After we will calculate the factors of 96288 and 96308 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 96308

Prime factors of 96308 are 2, 24077. Prime factorization of 96308 in exponential form is:

96308 = 2² × 24077¹

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 96308

List of positive integer factors of 96308 that divides 96288 without a remainder.

1, 2, 4, 24077, 48154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96288 and 96308. The biggest common factor number is the GCF number.
So the greatest common factor 96288 and 96308 is 4.

Also check out the Least Common Multiple of 96288 and 96308