What is the Greatest Common Factor of 11280 and 11288?

Greatest common factor (GCF) of 11280 and 11288 is 8.

GCF(11280,11288) = 8

We will now calculate the prime factors of 11280 and 11288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11280 and 11288.

How to find the GCF of 11280 and 11288?

We will first find the prime factorization of 11280 and 11288. After we will calculate the factors of 11280 and 11288 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 11288

Prime factors of 11288 are 2, 17, 83. Prime factorization of 11288 in exponential form is:

11288 = 2³ × 17¹ × 83¹

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 11288

List of positive integer factors of 11288 that divides 11280 without a remainder.

1, 2, 4, 8, 17, 34, 68, 83, 136, 166, 332, 664, 1411, 2822, 5644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11280 and 11288. The biggest common factor number is the GCF number.
So the greatest common factor 11280 and 11288 is 8.

Also check out the Least Common Multiple of 11280 and 11288