What is the Greatest Common Factor of 82005 and 82020?

Greatest common factor (GCF) of 82005 and 82020 is 15.

GCF(82005,82020) = 15

We will now calculate the prime factors of 82005 and 82020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82005 and 82020.

How to find the GCF of 82005 and 82020?

We will first find the prime factorization of 82005 and 82020. After we will calculate the factors of 82005 and 82020 and find the biggest common factor number .

Step-1: Prime Factorization of 82005

Prime factors of 82005 are 3, 5, 7, 11, 71. Prime factorization of 82005 in exponential form is:

82005 = 3¹ × 5¹ × 7¹ × 11¹ × 71¹

Step-2: Prime Factorization of 82020

Prime factors of 82020 are 2, 3, 5, 1367. Prime factorization of 82020 in exponential form is:

82020 = 2² × 3¹ × 5¹ × 1367¹

Step-3: Factors of 82005

List of positive integer factors of 82005 that divides 82005 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 71, 77, 105, 165, 213, 231, 355, 385, 497, 781, 1065, 1155, 1491, 2343, 2485, 3905, 5467, 7455, 11715, 16401, 27335

Step-4: Factors of 82020

List of positive integer factors of 82020 that divides 82005 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1367, 2734, 4101, 5468, 6835, 8202, 13670, 16404, 20505, 27340, 41010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82005 and 82020. The biggest common factor number is the GCF number.
So the greatest common factor 82005 and 82020 is 15.

Also check out the Least Common Multiple of 82005 and 82020