What is the Greatest Common Factor of 8096 and 8112?

Greatest common factor (GCF) of 8096 and 8112 is 16.

GCF(8096,8112) = 16

We will now calculate the prime factors of 8096 and 8112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8096 and 8112.

How to find the GCF of 8096 and 8112?

We will first find the prime factorization of 8096 and 8112. After we will calculate the factors of 8096 and 8112 and find the biggest common factor number .

Step-1: Prime Factorization of 8096

Prime factors of 8096 are 2, 11, 23. Prime factorization of 8096 in exponential form is:

8096 = 2⁵ × 11¹ × 23¹

Step-2: Prime Factorization of 8112

Prime factors of 8112 are 2, 3, 13. Prime factorization of 8112 in exponential form is:

8112 = 2⁴ × 3¹ × 13²

Step-3: Factors of 8096

List of positive integer factors of 8096 that divides 8096 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 88, 92, 176, 184, 253, 352, 368, 506, 736, 1012, 2024, 4048

Step-4: Factors of 8112

List of positive integer factors of 8112 that divides 8096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8096 and 8112. The biggest common factor number is the GCF number.
So the greatest common factor 8096 and 8112 is 16.

Also check out the Least Common Multiple of 8096 and 8112