What is the Greatest Common Factor of 17698 and 17716?

Greatest common factor (GCF) of 17698 and 17716 is 2.

GCF(17698,17716) = 2

We will now calculate the prime factors of 17698 and 17716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17698 and 17716.

How to find the GCF of 17698 and 17716?

We will first find the prime factorization of 17698 and 17716. After we will calculate the factors of 17698 and 17716 and find the biggest common factor number .

Step-1: Prime Factorization of 17698

Prime factors of 17698 are 2, 8849. Prime factorization of 17698 in exponential form is:

17698 = 2¹ × 8849¹

Step-2: Prime Factorization of 17716

Prime factors of 17716 are 2, 43, 103. Prime factorization of 17716 in exponential form is:

17716 = 2² × 43¹ × 103¹

Step-3: Factors of 17698

List of positive integer factors of 17698 that divides 17698 without a remainder.

1, 2, 8849

Step-4: Factors of 17716

List of positive integer factors of 17716 that divides 17698 without a remainder.

1, 2, 4, 43, 86, 103, 172, 206, 412, 4429, 8858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17698 and 17716. The biggest common factor number is the GCF number.
So the greatest common factor 17698 and 17716 is 2.

Also check out the Least Common Multiple of 17698 and 17716