What is the Greatest Common Factor of 13409 and 13418?

Greatest common factor (GCF) of 13409 and 13418 is 1.

GCF(13409,13418) = 1

We will now calculate the prime factors of 13409 and 13418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13409 and 13418.

How to find the GCF of 13409 and 13418?

We will first find the prime factorization of 13409 and 13418. After we will calculate the factors of 13409 and 13418 and find the biggest common factor number .

Step-1: Prime Factorization of 13409

Prime factors of 13409 are 11, 23, 53. Prime factorization of 13409 in exponential form is:

13409 = 11¹ × 23¹ × 53¹

Step-2: Prime Factorization of 13418

Prime factors of 13418 are 2, 6709. Prime factorization of 13418 in exponential form is:

13418 = 2¹ × 6709¹

Step-3: Factors of 13409

List of positive integer factors of 13409 that divides 13409 without a remainder.

1, 11, 23, 53, 253, 583, 1219

Step-4: Factors of 13418

List of positive integer factors of 13418 that divides 13409 without a remainder.

1, 2, 6709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13409 and 13418. The biggest common factor number is the GCF number.
So the greatest common factor 13409 and 13418 is 1.

Also check out the Least Common Multiple of 13409 and 13418