What is the Greatest Common Factor of 11088 and 11104?

Greatest common factor (GCF) of 11088 and 11104 is 16.

GCF(11088,11104) = 16

We will now calculate the prime factors of 11088 and 11104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11088 and 11104.

How to find the GCF of 11088 and 11104?

We will first find the prime factorization of 11088 and 11104. After we will calculate the factors of 11088 and 11104 and find the biggest common factor number .

Step-1: Prime Factorization of 11088

Prime factors of 11088 are 2, 3, 7, 11. Prime factorization of 11088 in exponential form is:

11088 = 2⁴ × 3² × 7¹ × 11¹

Step-2: Prime Factorization of 11104

Prime factors of 11104 are 2, 347. Prime factorization of 11104 in exponential form is:

11104 = 2⁵ × 347¹

Step-3: Factors of 11088

List of positive integer factors of 11088 that divides 11088 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 28, 33, 36, 42, 44, 48, 56, 63, 66, 72, 77, 84, 88, 99, 112, 126, 132, 144, 154, 168, 176, 198, 231, 252, 264, 308, 336, 396, 462, 504, 528, 616, 693, 792, 924, 1008, 1232, 1386, 1584, 1848, 2772, 3696, 5544

Step-4: Factors of 11104

List of positive integer factors of 11104 that divides 11088 without a remainder.

1, 2, 4, 8, 16, 32, 347, 694, 1388, 2776, 5552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11088 and 11104. The biggest common factor number is the GCF number.
So the greatest common factor 11088 and 11104 is 16.

Also check out the Least Common Multiple of 11088 and 11104