What is the Greatest Common Factor of 96288 and 96299?

Greatest common factor (GCF) of 96288 and 96299 is 1.

GCF(96288,96299) = 1

We will now calculate the prime factors of 96288 and 96299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96288 and 96299.

How to find the GCF of 96288 and 96299?

We will first find the prime factorization of 96288 and 96299. After we will calculate the factors of 96288 and 96299 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 96299

Prime factors of 96299 are 7, 13757. Prime factorization of 96299 in exponential form is:

96299 = 7¹ × 13757¹

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 96299

List of positive integer factors of 96299 that divides 96288 without a remainder.

1, 7, 13757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96288 and 96299. The biggest common factor number is the GCF number.
So the greatest common factor 96288 and 96299 is 1.

Also check out the Least Common Multiple of 96288 and 96299