What is the Greatest Common Factor of 8192 and 8197?

Greatest common factor (GCF) of 8192 and 8197 is 1.

GCF(8192,8197) = 1

We will now calculate the prime factors of 8192 and 8197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8192 and 8197.

How to find the GCF of 8192 and 8197?

We will first find the prime factorization of 8192 and 8197. After we will calculate the factors of 8192 and 8197 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 8197

Prime factors of 8197 are 7, 1171. Prime factorization of 8197 in exponential form is:

8197 = 7¹ × 1171¹

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 8197

List of positive integer factors of 8197 that divides 8192 without a remainder.

1, 7, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8192 and 8197. The biggest common factor number is the GCF number.
So the greatest common factor 8192 and 8197 is 1.

Also check out the Least Common Multiple of 8192 and 8197