What is the Greatest Common Factor of 11565 and 11577?

Greatest common factor (GCF) of 11565 and 11577 is 3.

GCF(11565,11577) = 3

We will now calculate the prime factors of 11565 and 11577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11565 and 11577.

How to find the GCF of 11565 and 11577?

We will first find the prime factorization of 11565 and 11577. After we will calculate the factors of 11565 and 11577 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11577

Prime factors of 11577 are 3, 17, 227. Prime factorization of 11577 in exponential form is:

11577 = 3¹ × 17¹ × 227¹

Step-3: Factors of 11565

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

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

Step-4: Factors of 11577

List of positive integer factors of 11577 that divides 11565 without a remainder.

1, 3, 17, 51, 227, 681, 3859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11565 and 11577. The biggest common factor number is the GCF number.
So the greatest common factor 11565 and 11577 is 3.

Also check out the Least Common Multiple of 11565 and 11577