What is the Greatest Common Factor of 11288 and 11296?

Greatest common factor (GCF) of 11288 and 11296 is 8.

GCF(11288,11296) = 8

We will now calculate the prime factors of 11288 and 11296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11288 and 11296.

How to find the GCF of 11288 and 11296?

We will first find the prime factorization of 11288 and 11296. After we will calculate the factors of 11288 and 11296 and find the biggest common factor number .

Step-1: Prime Factorization of 11288

Prime factors of 11288 are 2, 17, 83. Prime factorization of 11288 in exponential form is:

11288 = 2³ × 17¹ × 83¹

Step-2: Prime Factorization of 11296

Prime factors of 11296 are 2, 353. Prime factorization of 11296 in exponential form is:

11296 = 2⁵ × 353¹

Step-3: Factors of 11288

List of positive integer factors of 11288 that divides 11288 without a remainder.

1, 2, 4, 8, 17, 34, 68, 83, 136, 166, 332, 664, 1411, 2822, 5644

Step-4: Factors of 11296

List of positive integer factors of 11296 that divides 11288 without a remainder.

1, 2, 4, 8, 16, 32, 353, 706, 1412, 2824, 5648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11288 and 11296. The biggest common factor number is the GCF number.
So the greatest common factor 11288 and 11296 is 8.

Also check out the Least Common Multiple of 11288 and 11296