What is the Greatest Common Factor of 11521 and 11538?

Greatest common factor (GCF) of 11521 and 11538 is 1.

GCF(11521,11538) = 1

We will now calculate the prime factors of 11521 and 11538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11521 and 11538.

How to find the GCF of 11521 and 11538?

We will first find the prime factorization of 11521 and 11538. After we will calculate the factors of 11521 and 11538 and find the biggest common factor number .

Step-1: Prime Factorization of 11521

Prime factors of 11521 are 41, 281. Prime factorization of 11521 in exponential form is:

11521 = 41¹ × 281¹

Step-2: 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-3: Factors of 11521

List of positive integer factors of 11521 that divides 11521 without a remainder.

1, 41, 281

Step-4: Factors of 11538

List of positive integer factors of 11538 that divides 11521 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11521 and 11538. The biggest common factor number is the GCF number.
So the greatest common factor 11521 and 11538 is 1.

Also check out the Least Common Multiple of 11521 and 11538