What is the Greatest Common Factor of 11088 and 11099?

Greatest common factor (GCF) of 11088 and 11099 is 11.

GCF(11088,11099) = 11

We will now calculate the prime factors of 11088 and 11099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11088 and 11099.

How to find the GCF of 11088 and 11099?

We will first find the prime factorization of 11088 and 11099. After we will calculate the factors of 11088 and 11099 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 11099

Prime factors of 11099 are 11, 1009. Prime factorization of 11099 in exponential form is:

11099 = 11¹ × 1009¹

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 11099

List of positive integer factors of 11099 that divides 11088 without a remainder.

1, 11, 1009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11088 and 11099. The biggest common factor number is the GCF number.
So the greatest common factor 11088 and 11099 is 11.

Also check out the Least Common Multiple of 11088 and 11099