What is the Greatest Common Factor of 13705 and 13711?

Greatest common factor (GCF) of 13705 and 13711 is 1.

GCF(13705,13711) = 1

We will now calculate the prime factors of 13705 and 13711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13705 and 13711.

How to find the GCF of 13705 and 13711?

We will first find the prime factorization of 13705 and 13711. After we will calculate the factors of 13705 and 13711 and find the biggest common factor number .

Step-1: Prime Factorization of 13705

Prime factors of 13705 are 5, 2741. Prime factorization of 13705 in exponential form is:

13705 = 5¹ × 2741¹

Step-2: Prime Factorization of 13711

Prime factors of 13711 are 13711. Prime factorization of 13711 in exponential form is:

13711 = 13711¹

Step-3: Factors of 13705

List of positive integer factors of 13705 that divides 13705 without a remainder.

1, 5, 2741

Step-4: Factors of 13711

List of positive integer factors of 13711 that divides 13705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13705 and 13711. The biggest common factor number is the GCF number.
So the greatest common factor 13705 and 13711 is 1.

Also check out the Least Common Multiple of 13705 and 13711