What is the Greatest Common Factor of 16731 and 16749?

Greatest common factor (GCF) of 16731 and 16749 is 9.

GCF(16731,16749) = 9

We will now calculate the prime factors of 16731 and 16749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16731 and 16749.

How to find the GCF of 16731 and 16749?

We will first find the prime factorization of 16731 and 16749. After we will calculate the factors of 16731 and 16749 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16749

Prime factors of 16749 are 3, 1861. Prime factorization of 16749 in exponential form is:

16749 = 3² × 1861¹

Step-3: Factors of 16731

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

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

Step-4: Factors of 16749

List of positive integer factors of 16749 that divides 16731 without a remainder.

1, 3, 9, 1861, 5583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16731 and 16749. The biggest common factor number is the GCF number.
So the greatest common factor 16731 and 16749 is 9.

Also check out the Least Common Multiple of 16731 and 16749