What is the Greatest Common Factor of 13540 and 13549?

Greatest common factor (GCF) of 13540 and 13549 is 1.

GCF(13540,13549) = 1

We will now calculate the prime factors of 13540 and 13549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13540 and 13549.

How to find the GCF of 13540 and 13549?

We will first find the prime factorization of 13540 and 13549. After we will calculate the factors of 13540 and 13549 and find the biggest common factor number .

Step-1: Prime Factorization of 13540

Prime factors of 13540 are 2, 5, 677. Prime factorization of 13540 in exponential form is:

13540 = 2² × 5¹ × 677¹

Step-2: Prime Factorization of 13549

Prime factors of 13549 are 17, 797. Prime factorization of 13549 in exponential form is:

13549 = 17¹ × 797¹

Step-3: Factors of 13540

List of positive integer factors of 13540 that divides 13540 without a remainder.

1, 2, 4, 5, 10, 20, 677, 1354, 2708, 3385, 6770

Step-4: Factors of 13549

List of positive integer factors of 13549 that divides 13540 without a remainder.

1, 17, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13540 and 13549. The biggest common factor number is the GCF number.
So the greatest common factor 13540 and 13549 is 1.

Also check out the Least Common Multiple of 13540 and 13549