What is the Greatest Common Factor of 13719 and 13723?

Greatest common factor (GCF) of 13719 and 13723 is 1.

GCF(13719,13723) = 1

We will now calculate the prime factors of 13719 and 13723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13719 and 13723.

How to find the GCF of 13719 and 13723?

We will first find the prime factorization of 13719 and 13723. After we will calculate the factors of 13719 and 13723 and find the biggest common factor number .

Step-1: Prime Factorization of 13719

Prime factors of 13719 are 3, 17, 269. Prime factorization of 13719 in exponential form is:

13719 = 3¹ × 17¹ × 269¹

Step-2: Prime Factorization of 13723

Prime factors of 13723 are 13723. Prime factorization of 13723 in exponential form is:

13723 = 13723¹

Step-3: Factors of 13719

List of positive integer factors of 13719 that divides 13719 without a remainder.

1, 3, 17, 51, 269, 807, 4573

Step-4: Factors of 13723

List of positive integer factors of 13723 that divides 13719 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13719 and 13723. The biggest common factor number is the GCF number.
So the greatest common factor 13719 and 13723 is 1.

Also check out the Least Common Multiple of 13719 and 13723