What is the Greatest Common Factor of 82082 and 82098?

Greatest common factor (GCF) of 82082 and 82098 is 2.

GCF(82082,82098) = 2

We will now calculate the prime factors of 82082 and 82098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82082 and 82098.

How to find the GCF of 82082 and 82098?

We will first find the prime factorization of 82082 and 82098. After we will calculate the factors of 82082 and 82098 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 82098

Prime factors of 82098 are 2, 3, 4561. Prime factorization of 82098 in exponential form is:

82098 = 2¹ × 3² × 4561¹

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 82098

List of positive integer factors of 82098 that divides 82082 without a remainder.

1, 2, 3, 6, 9, 18, 4561, 9122, 13683, 27366, 41049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82082 and 82098. The biggest common factor number is the GCF number.
So the greatest common factor 82082 and 82098 is 2.

Also check out the Least Common Multiple of 82082 and 82098