What is the Greatest Common Factor of 82082 and 82096?

Greatest common factor (GCF) of 82082 and 82096 is 14.

GCF(82082,82096) = 14

We will now calculate the prime factors of 82082 and 82096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82082 and 82096.

How to find the GCF of 82082 and 82096?

We will first find the prime factorization of 82082 and 82096. After we will calculate the factors of 82082 and 82096 and find the biggest common factor number .

Step-1: Prime Factorization of 82082

Prime factors of 82082 are 2, 7, 11, 13, 41. Prime factorization of 82082 in exponential form is:

82082 = 2¹ × 7¹ × 11¹ × 13¹ × 41¹

Step-2: 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-3: Factors of 82082

List of positive integer factors of 82082 that divides 82082 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 41, 77, 82, 91, 143, 154, 182, 286, 287, 451, 533, 574, 902, 1001, 1066, 2002, 3157, 3731, 5863, 6314, 7462, 11726, 41041

Step-4: Factors of 82096

List of positive integer factors of 82096 that divides 82082 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82082 and 82096. The biggest common factor number is the GCF number.
So the greatest common factor 82082 and 82096 is 14.

Also check out the Least Common Multiple of 82082 and 82096