What is the Greatest Common Factor of 8192 and 8201?

Greatest common factor (GCF) of 8192 and 8201 is 1.

GCF(8192,8201) = 1

We will now calculate the prime factors of 8192 and 8201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8192 and 8201.

How to find the GCF of 8192 and 8201?

We will first find the prime factorization of 8192 and 8201. After we will calculate the factors of 8192 and 8201 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 8201

Prime factors of 8201 are 59, 139. Prime factorization of 8201 in exponential form is:

8201 = 59¹ × 139¹

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 8201

List of positive integer factors of 8201 that divides 8192 without a remainder.

1, 59, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8192 and 8201. The biggest common factor number is the GCF number.
So the greatest common factor 8192 and 8201 is 1.

Also check out the Least Common Multiple of 8192 and 8201