What is the Greatest Common Factor of 16709 and 16720?

Greatest common factor (GCF) of 16709 and 16720 is 11.

GCF(16709,16720) = 11

We will now calculate the prime factors of 16709 and 16720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16709 and 16720.

How to find the GCF of 16709 and 16720?

We will first find the prime factorization of 16709 and 16720. After we will calculate the factors of 16709 and 16720 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 16720

Prime factors of 16720 are 2, 5, 11, 19. Prime factorization of 16720 in exponential form is:

16720 = 2⁴ × 5¹ × 11¹ × 19¹

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 16720

List of positive integer factors of 16720 that divides 16709 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 38, 40, 44, 55, 76, 80, 88, 95, 110, 152, 176, 190, 209, 220, 304, 380, 418, 440, 760, 836, 880, 1045, 1520, 1672, 2090, 3344, 4180, 8360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16709 and 16720. The biggest common factor number is the GCF number.
So the greatest common factor 16709 and 16720 is 11.

Also check out the Least Common Multiple of 16709 and 16720