What is the Greatest Common Factor of 16727 and 16731?

Greatest common factor (GCF) of 16727 and 16731 is 1.

GCF(16727,16731) = 1

We will now calculate the prime factors of 16727 and 16731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16727 and 16731.

How to find the GCF of 16727 and 16731?

We will first find the prime factorization of 16727 and 16731. After we will calculate the factors of 16727 and 16731 and find the biggest common factor number .

Step-1: Prime Factorization of 16727

Prime factors of 16727 are 43, 389. Prime factorization of 16727 in exponential form is:

16727 = 43¹ × 389¹

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 16727

List of positive integer factors of 16727 that divides 16727 without a remainder.

1, 43, 389

Step-4: Factors of 16731

List of positive integer factors of 16731 that divides 16727 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 16727 and 16731. The biggest common factor number is the GCF number.
So the greatest common factor 16727 and 16731 is 1.

Also check out the Least Common Multiple of 16727 and 16731