What is the Greatest Common Factor of 82096 and 82112?

Greatest common factor (GCF) of 82096 and 82112 is 16.

GCF(82096,82112) = 16

We will now calculate the prime factors of 82096 and 82112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82096 and 82112.

How to find the GCF of 82096 and 82112?

We will first find the prime factorization of 82096 and 82112. After we will calculate the factors of 82096 and 82112 and find the biggest common factor number .

Step-1: Prime Factorization of 82096

Prime factors of 82096 are 2, 7, 733. Prime factorization of 82096 in exponential form is:

82096 = 2⁴ × 7¹ × 733¹

Step-2: Prime Factorization of 82112

Prime factors of 82112 are 2, 1283. Prime factorization of 82112 in exponential form is:

82112 = 2⁶ × 1283¹

Step-3: Factors of 82096

List of positive integer factors of 82096 that divides 82096 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 733, 1466, 2932, 5131, 5864, 10262, 11728, 20524, 41048

Step-4: Factors of 82112

List of positive integer factors of 82112 that divides 82096 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1283, 2566, 5132, 10264, 20528, 41056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82096 and 82112. The biggest common factor number is the GCF number.
So the greatest common factor 82096 and 82112 is 16.

Also check out the Least Common Multiple of 82096 and 82112