What is the Greatest Common Factor of 16731 and 16742?

Greatest common factor (GCF) of 16731 and 16742 is 11.

GCF(16731,16742) = 11

We will now calculate the prime factors of 16731 and 16742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16731 and 16742.

How to find the GCF of 16731 and 16742?

We will first find the prime factorization of 16731 and 16742. After we will calculate the factors of 16731 and 16742 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 16742

Prime factors of 16742 are 2, 11, 761. Prime factorization of 16742 in exponential form is:

16742 = 2¹ × 11¹ × 761¹

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 16742

List of positive integer factors of 16742 that divides 16731 without a remainder.

1, 2, 11, 22, 761, 1522, 8371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16731 and 16742. The biggest common factor number is the GCF number.
So the greatest common factor 16731 and 16742 is 11.

Also check out the Least Common Multiple of 16731 and 16742