What is the Greatest Common Factor of 11280 and 11289?

Greatest common factor (GCF) of 11280 and 11289 is 3.

GCF(11280,11289) = 3

We will now calculate the prime factors of 11280 and 11289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11280 and 11289.

How to find the GCF of 11280 and 11289?

We will first find the prime factorization of 11280 and 11289. After we will calculate the factors of 11280 and 11289 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 11289

Prime factors of 11289 are 3, 53, 71. Prime factorization of 11289 in exponential form is:

11289 = 3¹ × 53¹ × 71¹

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 11289

List of positive integer factors of 11289 that divides 11280 without a remainder.

1, 3, 53, 71, 159, 213, 3763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11280 and 11289. The biggest common factor number is the GCF number.
So the greatest common factor 11280 and 11289 is 3.

Also check out the Least Common Multiple of 11280 and 11289