What is the Greatest Common Factor of 16719 and 16731?

Greatest common factor (GCF) of 16719 and 16731 is 3.

GCF(16719,16731) = 3

We will now calculate the prime factors of 16719 and 16731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16719 and 16731.

How to find the GCF of 16719 and 16731?

We will first find the prime factorization of 16719 and 16731. After we will calculate the factors of 16719 and 16731 and find the biggest common factor number .

Step-1: Prime Factorization of 16719

Prime factors of 16719 are 3, 5573. Prime factorization of 16719 in exponential form is:

16719 = 3¹ × 5573¹

Step-2: Prime Factorization of 16731

Prime factors of 16731 are 3, 11, 13. Prime factorization of 16731 in exponential form is:

16731 = 3² × 11¹ × 13²

Step-3: Factors of 16719

List of positive integer factors of 16719 that divides 16719 without a remainder.

1, 3, 5573

Step-4: Factors of 16731

List of positive integer factors of 16731 that divides 16719 without a remainder.

1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 169, 429, 507, 1287, 1521, 1859, 5577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16719 and 16731. The biggest common factor number is the GCF number.
So the greatest common factor 16719 and 16731 is 3.

Also check out the Least Common Multiple of 16719 and 16731