What is the Greatest Common Factor of 11265 and 11280?

Greatest common factor (GCF) of 11265 and 11280 is 15.

GCF(11265,11280) = 15

We will now calculate the prime factors of 11265 and 11280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11265 and 11280.

How to find the GCF of 11265 and 11280?

We will first find the prime factorization of 11265 and 11280. After we will calculate the factors of 11265 and 11280 and find the biggest common factor number .

Step-1: Prime Factorization of 11265

Prime factors of 11265 are 3, 5, 751. Prime factorization of 11265 in exponential form is:

11265 = 3¹ × 5¹ × 751¹

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 11265

List of positive integer factors of 11265 that divides 11265 without a remainder.

1, 3, 5, 15, 751, 2253, 3755

Step-4: Factors of 11280

List of positive integer factors of 11280 that divides 11265 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 11265 and 11280. The biggest common factor number is the GCF number.
So the greatest common factor 11265 and 11280 is 15.

Also check out the Least Common Multiple of 11265 and 11280