What is the Greatest Common Factor of 82498 and 82511?

Greatest common factor (GCF) of 82498 and 82511 is 13.

GCF(82498,82511) = 13

We will now calculate the prime factors of 82498 and 82511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82498 and 82511.

How to find the GCF of 82498 and 82511?

We will first find the prime factorization of 82498 and 82511. After we will calculate the factors of 82498 and 82511 and find the biggest common factor number .

Step-1: Prime Factorization of 82498

Prime factors of 82498 are 2, 13, 19, 167. Prime factorization of 82498 in exponential form is:

82498 = 2¹ × 13¹ × 19¹ × 167¹

Step-2: Prime Factorization of 82511

Prime factors of 82511 are 11, 13, 577. Prime factorization of 82511 in exponential form is:

82511 = 11¹ × 13¹ × 577¹

Step-3: Factors of 82498

List of positive integer factors of 82498 that divides 82498 without a remainder.

1, 2, 13, 19, 26, 38, 167, 247, 334, 494, 2171, 3173, 4342, 6346, 41249

Step-4: Factors of 82511

List of positive integer factors of 82511 that divides 82498 without a remainder.

1, 11, 13, 143, 577, 6347, 7501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82498 and 82511. The biggest common factor number is the GCF number.
So the greatest common factor 82498 and 82511 is 13.

Also check out the Least Common Multiple of 82498 and 82511