What is the Greatest Common Factor of 16709 and 16713?

Greatest common factor (GCF) of 16709 and 16713 is 1.

GCF(16709,16713) = 1

We will now calculate the prime factors of 16709 and 16713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16709 and 16713.

How to find the GCF of 16709 and 16713?

We will first find the prime factorization of 16709 and 16713. After we will calculate the factors of 16709 and 16713 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 16713

Prime factors of 16713 are 3, 619. Prime factorization of 16713 in exponential form is:

16713 = 3³ × 619¹

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 16713

List of positive integer factors of 16713 that divides 16709 without a remainder.

1, 3, 9, 27, 619, 1857, 5571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16709 and 16713. The biggest common factor number is the GCF number.
So the greatest common factor 16709 and 16713 is 1.

Also check out the Least Common Multiple of 16709 and 16713