What is the Greatest Common Factor of 11550 and 11565?

Greatest common factor (GCF) of 11550 and 11565 is 15.

GCF(11550,11565) = 15

We will now calculate the prime factors of 11550 and 11565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11550 and 11565.

How to find the GCF of 11550 and 11565?

We will first find the prime factorization of 11550 and 11565. After we will calculate the factors of 11550 and 11565 and find the biggest common factor number .

Step-1: Prime Factorization of 11550

Prime factors of 11550 are 2, 3, 5, 7, 11. Prime factorization of 11550 in exponential form is:

11550 = 2¹ × 3¹ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 11565

Prime factors of 11565 are 3, 5, 257. Prime factorization of 11565 in exponential form is:

11565 = 3² × 5¹ × 257¹

Step-3: Factors of 11550

List of positive integer factors of 11550 that divides 11550 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 25, 30, 33, 35, 42, 50, 55, 66, 70, 75, 77, 105, 110, 150, 154, 165, 175, 210, 231, 275, 330, 350, 385, 462, 525, 550, 770, 825, 1050, 1155, 1650, 1925, 2310, 3850, 5775

Step-4: Factors of 11565

List of positive integer factors of 11565 that divides 11550 without a remainder.

1, 3, 5, 9, 15, 45, 257, 771, 1285, 2313, 3855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11550 and 11565. The biggest common factor number is the GCF number.
So the greatest common factor 11550 and 11565 is 15.

Also check out the Least Common Multiple of 11550 and 11565