What is the Greatest Common Factor of 8288 and 8296?

Greatest common factor (GCF) of 8288 and 8296 is 8.

GCF(8288,8296) = 8

We will now calculate the prime factors of 8288 and 8296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8288 and 8296.

How to find the GCF of 8288 and 8296?

We will first find the prime factorization of 8288 and 8296. After we will calculate the factors of 8288 and 8296 and find the biggest common factor number .

Step-1: Prime Factorization of 8288

Prime factors of 8288 are 2, 7, 37. Prime factorization of 8288 in exponential form is:

8288 = 2⁵ × 7¹ × 37¹

Step-2: Prime Factorization of 8296

Prime factors of 8296 are 2, 17, 61. Prime factorization of 8296 in exponential form is:

8296 = 2³ × 17¹ × 61¹

Step-3: Factors of 8288

List of positive integer factors of 8288 that divides 8288 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144

Step-4: Factors of 8296

List of positive integer factors of 8296 that divides 8288 without a remainder.

1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8288 and 8296. The biggest common factor number is the GCF number.
So the greatest common factor 8288 and 8296 is 8.

Also check out the Least Common Multiple of 8288 and 8296