What is the Greatest Common Factor of 17180 and 17198?

Greatest common factor (GCF) of 17180 and 17198 is 2.

GCF(17180,17198) = 2

We will now calculate the prime factors of 17180 and 17198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17180 and 17198.

How to find the GCF of 17180 and 17198?

We will first find the prime factorization of 17180 and 17198. After we will calculate the factors of 17180 and 17198 and find the biggest common factor number .

Step-1: Prime Factorization of 17180

Prime factors of 17180 are 2, 5, 859. Prime factorization of 17180 in exponential form is:

17180 = 2² × 5¹ × 859¹

Step-2: Prime Factorization of 17198

Prime factors of 17198 are 2, 8599. Prime factorization of 17198 in exponential form is:

17198 = 2¹ × 8599¹

Step-3: Factors of 17180

List of positive integer factors of 17180 that divides 17180 without a remainder.

1, 2, 4, 5, 10, 20, 859, 1718, 3436, 4295, 8590

Step-4: Factors of 17198

List of positive integer factors of 17198 that divides 17180 without a remainder.

1, 2, 8599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17180 and 17198. The biggest common factor number is the GCF number.
So the greatest common factor 17180 and 17198 is 2.

Also check out the Least Common Multiple of 17180 and 17198