What is the Greatest Common Factor of 11264 and 11280?

Greatest common factor (GCF) of 11264 and 11280 is 16.

GCF(11264,11280) = 16

We will now calculate the prime factors of 11264 and 11280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11264 and 11280.

How to find the GCF of 11264 and 11280?

We will first find the prime factorization of 11264 and 11280. After we will calculate the factors of 11264 and 11280 and find the biggest common factor number .

Step-1: Prime Factorization of 11264

Prime factors of 11264 are 2, 11. Prime factorization of 11264 in exponential form is:

11264 = 2¹⁰ × 11¹

Step-2: Prime Factorization of 11280

Prime factors of 11280 are 2, 3, 5, 47. Prime factorization of 11280 in exponential form is:

11280 = 2⁴ × 3¹ × 5¹ × 47¹

Step-3: Factors of 11264

List of positive integer factors of 11264 that divides 11264 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1024, 1408, 2816, 5632

Step-4: Factors of 11280

List of positive integer factors of 11280 that divides 11264 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 47, 48, 60, 80, 94, 120, 141, 188, 235, 240, 282, 376, 470, 564, 705, 752, 940, 1128, 1410, 1880, 2256, 2820, 3760, 5640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11264 and 11280. The biggest common factor number is the GCF number.
So the greatest common factor 11264 and 11280 is 16.

Also check out the Least Common Multiple of 11264 and 11280