What is the Greatest Common Factor of 16709 and 16726?

Greatest common factor (GCF) of 16709 and 16726 is 1.

GCF(16709,16726) = 1

We will now calculate the prime factors of 16709 and 16726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16709 and 16726.

How to find the GCF of 16709 and 16726?

We will first find the prime factorization of 16709 and 16726. After we will calculate the factors of 16709 and 16726 and find the biggest common factor number .

Step-1: Prime Factorization of 16709

Prime factors of 16709 are 7, 11, 31. Prime factorization of 16709 in exponential form is:

16709 = 7² × 11¹ × 31¹

Step-2: Prime Factorization of 16726

Prime factors of 16726 are 2, 8363. Prime factorization of 16726 in exponential form is:

16726 = 2¹ × 8363¹

Step-3: Factors of 16709

List of positive integer factors of 16709 that divides 16709 without a remainder.

1, 7, 11, 31, 49, 77, 217, 341, 539, 1519, 2387

Step-4: Factors of 16726

List of positive integer factors of 16726 that divides 16709 without a remainder.

1, 2, 8363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16709 and 16726. The biggest common factor number is the GCF number.
So the greatest common factor 16709 and 16726 is 1.

Also check out the Least Common Multiple of 16709 and 16726