What is the Greatest Common Factor of 13719 and 13731?

Greatest common factor (GCF) of 13719 and 13731 is 3.

GCF(13719,13731) = 3

We will now calculate the prime factors of 13719 and 13731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13719 and 13731.

How to find the GCF of 13719 and 13731?

We will first find the prime factorization of 13719 and 13731. After we will calculate the factors of 13719 and 13731 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 13731

Prime factors of 13731 are 3, 23, 199. Prime factorization of 13731 in exponential form is:

13731 = 3¹ × 23¹ × 199¹

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 13731

List of positive integer factors of 13731 that divides 13719 without a remainder.

1, 3, 23, 69, 199, 597, 4577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13719 and 13731. The biggest common factor number is the GCF number.
So the greatest common factor 13719 and 13731 is 3.

Also check out the Least Common Multiple of 13719 and 13731