What is the Greatest Common Factor of 8192 and 8198?

Greatest common factor (GCF) of 8192 and 8198 is 2.

GCF(8192,8198) = 2

We will now calculate the prime factors of 8192 and 8198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8192 and 8198.

How to find the GCF of 8192 and 8198?

We will first find the prime factorization of 8192 and 8198. After we will calculate the factors of 8192 and 8198 and find the biggest common factor number .

Step-1: Prime Factorization of 8192

Prime factors of 8192 are 2. Prime factorization of 8192 in exponential form is:

8192 = 2¹³

Step-2: Prime Factorization of 8198

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

8198 = 2¹ × 4099¹

Step-3: Factors of 8192

List of positive integer factors of 8192 that divides 8192 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096

Step-4: Factors of 8198

List of positive integer factors of 8198 that divides 8192 without a remainder.

1, 2, 4099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8192 and 8198. The biggest common factor number is the GCF number.
So the greatest common factor 8192 and 8198 is 2.

Also check out the Least Common Multiple of 8192 and 8198