What is the Greatest Common Factor of 11072 and 11088?

Greatest common factor (GCF) of 11072 and 11088 is 16.

GCF(11072,11088) = 16

We will now calculate the prime factors of 11072 and 11088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11072 and 11088.

How to find the GCF of 11072 and 11088?

We will first find the prime factorization of 11072 and 11088. After we will calculate the factors of 11072 and 11088 and find the biggest common factor number .

Step-1: Prime Factorization of 11072

Prime factors of 11072 are 2, 173. Prime factorization of 11072 in exponential form is:

11072 = 2⁶ × 173¹

Step-2: 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-3: Factors of 11072

List of positive integer factors of 11072 that divides 11072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536

Step-4: Factors of 11088

List of positive integer factors of 11088 that divides 11072 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11072 and 11088. The biggest common factor number is the GCF number.
So the greatest common factor 11072 and 11088 is 16.

Also check out the Least Common Multiple of 11072 and 11088