What is the Greatest Common Factor of 11540 and 11549?

Greatest common factor (GCF) of 11540 and 11549 is 1.

GCF(11540,11549) = 1

We will now calculate the prime factors of 11540 and 11549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11540 and 11549.

How to find the GCF of 11540 and 11549?

We will first find the prime factorization of 11540 and 11549. After we will calculate the factors of 11540 and 11549 and find the biggest common factor number .

Step-1: Prime Factorization of 11540

Prime factors of 11540 are 2, 5, 577. Prime factorization of 11540 in exponential form is:

11540 = 2² × 5¹ × 577¹

Step-2: Prime Factorization of 11549

Prime factors of 11549 are 11549. Prime factorization of 11549 in exponential form is:

11549 = 11549¹

Step-3: Factors of 11540

List of positive integer factors of 11540 that divides 11540 without a remainder.

1, 2, 4, 5, 10, 20, 577, 1154, 2308, 2885, 5770

Step-4: Factors of 11549

List of positive integer factors of 11549 that divides 11540 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11540 and 11549. The biggest common factor number is the GCF number.
So the greatest common factor 11540 and 11549 is 1.

Also check out the Least Common Multiple of 11540 and 11549