What is the Greatest Common Factor of 16722 and 16731?

Greatest common factor (GCF) of 16722 and 16731 is 9.

GCF(16722,16731) = 9

We will now calculate the prime factors of 16722 and 16731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16722 and 16731.

How to find the GCF of 16722 and 16731?

We will first find the prime factorization of 16722 and 16731. After we will calculate the factors of 16722 and 16731 and find the biggest common factor number .

Step-1: Prime Factorization of 16722

Prime factors of 16722 are 2, 3, 929. Prime factorization of 16722 in exponential form is:

16722 = 2¹ × 3² × 929¹

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 16722

List of positive integer factors of 16722 that divides 16722 without a remainder.

1, 2, 3, 6, 9, 18, 929, 1858, 2787, 5574, 8361

Step-4: Factors of 16731

List of positive integer factors of 16731 that divides 16722 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 16722 and 16731. The biggest common factor number is the GCF number.
So the greatest common factor 16722 and 16731 is 9.

Also check out the Least Common Multiple of 16722 and 16731