What is the Greatest Common Factor of 16742 and 16754?

Greatest common factor (GCF) of 16742 and 16754 is 2.

GCF(16742,16754) = 2

We will now calculate the prime factors of 16742 and 16754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16742 and 16754.

How to find the GCF of 16742 and 16754?

We will first find the prime factorization of 16742 and 16754. After we will calculate the factors of 16742 and 16754 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16754

Prime factors of 16754 are 2, 8377. Prime factorization of 16754 in exponential form is:

16754 = 2¹ × 8377¹

Step-3: Factors of 16742

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

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

Step-4: Factors of 16754

List of positive integer factors of 16754 that divides 16742 without a remainder.

1, 2, 8377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16742 and 16754. The biggest common factor number is the GCF number.
So the greatest common factor 16742 and 16754 is 2.

Also check out the Least Common Multiple of 16742 and 16754