What is the Greatest Common Factor of 11538 and 11554?

Greatest common factor (GCF) of 11538 and 11554 is 2.

GCF(11538,11554) = 2

We will now calculate the prime factors of 11538 and 11554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11538 and 11554.

How to find the GCF of 11538 and 11554?

We will first find the prime factorization of 11538 and 11554. After we will calculate the factors of 11538 and 11554 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 11554

Prime factors of 11554 are 2, 53, 109. Prime factorization of 11554 in exponential form is:

11554 = 2¹ × 53¹ × 109¹

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 11554

List of positive integer factors of 11554 that divides 11538 without a remainder.

1, 2, 53, 106, 109, 218, 5777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11538 and 11554. The biggest common factor number is the GCF number.
So the greatest common factor 11538 and 11554 is 2.

Also check out the Least Common Multiple of 11538 and 11554