What is the Greatest Common Factor of 11547 and 11565?

Greatest common factor (GCF) of 11547 and 11565 is 9.

GCF(11547,11565) = 9

We will now calculate the prime factors of 11547 and 11565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11547 and 11565.

How to find the GCF of 11547 and 11565?

We will first find the prime factorization of 11547 and 11565. After we will calculate the factors of 11547 and 11565 and find the biggest common factor number .

Step-1: Prime Factorization of 11547

Prime factors of 11547 are 3, 1283. Prime factorization of 11547 in exponential form is:

11547 = 3² × 1283¹

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 11547

List of positive integer factors of 11547 that divides 11547 without a remainder.

1, 3, 9, 1283, 3849

Step-4: Factors of 11565

List of positive integer factors of 11565 that divides 11547 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 11547 and 11565. The biggest common factor number is the GCF number.
So the greatest common factor 11547 and 11565 is 9.

Also check out the Least Common Multiple of 11547 and 11565