What is the Greatest Common Factor of 16731 and 16746?

Greatest common factor (GCF) of 16731 and 16746 is 3.

GCF(16731,16746) = 3

We will now calculate the prime factors of 16731 and 16746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16731 and 16746.

How to find the GCF of 16731 and 16746?

We will first find the prime factorization of 16731 and 16746. After we will calculate the factors of 16731 and 16746 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 16746

Prime factors of 16746 are 2, 3, 2791. Prime factorization of 16746 in exponential form is:

16746 = 2¹ × 3¹ × 2791¹

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 16746

List of positive integer factors of 16746 that divides 16731 without a remainder.

1, 2, 3, 6, 2791, 5582, 8373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16731 and 16746. The biggest common factor number is the GCF number.
So the greatest common factor 16731 and 16746 is 3.

Also check out the Least Common Multiple of 16731 and 16746