What is the Greatest Common Factor of 11280 and 11296?

Greatest common factor (GCF) of 11280 and 11296 is 16.

GCF(11280,11296) = 16

We will now calculate the prime factors of 11280 and 11296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11280 and 11296.

How to find the GCF of 11280 and 11296?

We will first find the prime factorization of 11280 and 11296. After we will calculate the factors of 11280 and 11296 and find the biggest common factor number .

Step-1: 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-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 11280

List of positive integer factors of 11280 that divides 11280 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

Step-4: Factors of 11296

List of positive integer factors of 11296 that divides 11280 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 11280 and 11296. The biggest common factor number is the GCF number.
So the greatest common factor 11280 and 11296 is 16.

Also check out the Least Common Multiple of 11280 and 11296