What is the Greatest Common Factor of 11280 and 11295?

Greatest common factor (GCF) of 11280 and 11295 is 15.

GCF(11280,11295) = 15

We will now calculate the prime factors of 11280 and 11295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11280 and 11295.

How to find the GCF of 11280 and 11295?

We will first find the prime factorization of 11280 and 11295. After we will calculate the factors of 11280 and 11295 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 11295

Prime factors of 11295 are 3, 5, 251. Prime factorization of 11295 in exponential form is:

11295 = 3² × 5¹ × 251¹

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 11295

List of positive integer factors of 11295 that divides 11280 without a remainder.

1, 3, 5, 9, 15, 45, 251, 753, 1255, 2259, 3765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11280 and 11295. The biggest common factor number is the GCF number.
So the greatest common factor 11280 and 11295 is 15.

Also check out the Least Common Multiple of 11280 and 11295