What is the Greatest Common Factor of 8174 and 8192?

Greatest common factor (GCF) of 8174 and 8192 is 2.

GCF(8174,8192) = 2

We will now calculate the prime factors of 8174 and 8192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8174 and 8192.

How to find the GCF of 8174 and 8192?

We will first find the prime factorization of 8174 and 8192. After we will calculate the factors of 8174 and 8192 and find the biggest common factor number .

Step-1: Prime Factorization of 8174

Prime factors of 8174 are 2, 61, 67. Prime factorization of 8174 in exponential form is:

8174 = 2¹ × 61¹ × 67¹

Step-2: Prime Factorization of 8192

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

8192 = 2¹³

Step-3: Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1, 2, 61, 67, 122, 134, 4087

Step-4: Factors of 8192

List of positive integer factors of 8192 that divides 8174 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8174 and 8192. The biggest common factor number is the GCF number.
So the greatest common factor 8174 and 8192 is 2.

Also check out the Least Common Multiple of 8174 and 8192