What is the Greatest Common Factor of 17198 and 17202?

Greatest common factor (GCF) of 17198 and 17202 is 2.

GCF(17198,17202) = 2

We will now calculate the prime factors of 17198 and 17202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17198 and 17202.

How to find the GCF of 17198 and 17202?

We will first find the prime factorization of 17198 and 17202. After we will calculate the factors of 17198 and 17202 and find the biggest common factor number .

Step-1: Prime Factorization of 17198

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

17198 = 2¹ × 8599¹

Step-2: Prime Factorization of 17202

Prime factors of 17202 are 2, 3, 47, 61. Prime factorization of 17202 in exponential form is:

17202 = 2¹ × 3¹ × 47¹ × 61¹

Step-3: Factors of 17198

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

1, 2, 8599

Step-4: Factors of 17202

List of positive integer factors of 17202 that divides 17198 without a remainder.

1, 2, 3, 6, 47, 61, 94, 122, 141, 183, 282, 366, 2867, 5734, 8601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17198 and 17202. The biggest common factor number is the GCF number.
So the greatest common factor 17198 and 17202 is 2.

Also check out the Least Common Multiple of 17198 and 17202