What is the Greatest Common Factor of 8192 and 8196?

Greatest common factor (GCF) of 8192 and 8196 is 4.

GCF(8192,8196) = 4

We will now calculate the prime factors of 8192 and 8196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8192 and 8196.

How to find the GCF of 8192 and 8196?

We will first find the prime factorization of 8192 and 8196. After we will calculate the factors of 8192 and 8196 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 8196

Prime factors of 8196 are 2, 3, 683. Prime factorization of 8196 in exponential form is:

8196 = 2² × 3¹ × 683¹

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 8196

List of positive integer factors of 8196 that divides 8192 without a remainder.

1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8192 and 8196. The biggest common factor number is the GCF number.
So the greatest common factor 8192 and 8196 is 4.

Also check out the Least Common Multiple of 8192 and 8196