What is the Greatest Common Factor of 8198 and 8202?

Greatest common factor (GCF) of 8198 and 8202 is 2.

GCF(8198,8202) = 2

We will now calculate the prime factors of 8198 and 8202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8198 and 8202.

How to find the GCF of 8198 and 8202?

We will first find the prime factorization of 8198 and 8202. After we will calculate the factors of 8198 and 8202 and find the biggest common factor number .

Step-1: Prime Factorization of 8198

Prime factors of 8198 are 2, 4099. Prime factorization of 8198 in exponential form is:

8198 = 2¹ × 4099¹

Step-2: Prime Factorization of 8202

Prime factors of 8202 are 2, 3, 1367. Prime factorization of 8202 in exponential form is:

8202 = 2¹ × 3¹ × 1367¹

Step-3: Factors of 8198

List of positive integer factors of 8198 that divides 8198 without a remainder.

1, 2, 4099

Step-4: Factors of 8202

List of positive integer factors of 8202 that divides 8198 without a remainder.

1, 2, 3, 6, 1367, 2734, 4101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8198 and 8202. The biggest common factor number is the GCF number.
So the greatest common factor 8198 and 8202 is 2.

Also check out the Least Common Multiple of 8198 and 8202