What is the Greatest Common Factor of 11538 and 11547?

Greatest common factor (GCF) of 11538 and 11547 is 9.

GCF(11538,11547) = 9

We will now calculate the prime factors of 11538 and 11547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11538 and 11547.

How to find the GCF of 11538 and 11547?

We will first find the prime factorization of 11538 and 11547. After we will calculate the factors of 11538 and 11547 and find the biggest common factor number .

Step-1: Prime Factorization of 11538

Prime factors of 11538 are 2, 3, 641. Prime factorization of 11538 in exponential form is:

11538 = 2¹ × 3² × 641¹

Step-2: Prime Factorization of 11547

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

11547 = 3² × 1283¹

Step-3: Factors of 11538

List of positive integer factors of 11538 that divides 11538 without a remainder.

1, 2, 3, 6, 9, 18, 641, 1282, 1923, 3846, 5769

Step-4: Factors of 11547

List of positive integer factors of 11547 that divides 11538 without a remainder.

1, 3, 9, 1283, 3849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11538 and 11547. The biggest common factor number is the GCF number.
So the greatest common factor 11538 and 11547 is 9.

Also check out the Least Common Multiple of 11538 and 11547