What is the Greatest Common Factor of 17709 and 17718?

Greatest common factor (GCF) of 17709 and 17718 is 3.

GCF(17709,17718) = 3

We will now calculate the prime factors of 17709 and 17718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17709 and 17718.

How to find the GCF of 17709 and 17718?

We will first find the prime factorization of 17709 and 17718. After we will calculate the factors of 17709 and 17718 and find the biggest common factor number .

Step-1: Prime Factorization of 17709

Prime factors of 17709 are 3, 5903. Prime factorization of 17709 in exponential form is:

17709 = 3¹ × 5903¹

Step-2: Prime Factorization of 17718

Prime factors of 17718 are 2, 3, 2953. Prime factorization of 17718 in exponential form is:

17718 = 2¹ × 3¹ × 2953¹

Step-3: Factors of 17709

List of positive integer factors of 17709 that divides 17709 without a remainder.

1, 3, 5903

Step-4: Factors of 17718

List of positive integer factors of 17718 that divides 17709 without a remainder.

1, 2, 3, 6, 2953, 5906, 8859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17709 and 17718. The biggest common factor number is the GCF number.
So the greatest common factor 17709 and 17718 is 3.

Also check out the Least Common Multiple of 17709 and 17718