What is the Greatest Common Factor of 82005 and 82024?

Greatest common factor (GCF) of 82005 and 82024 is 1.

GCF(82005,82024) = 1

We will now calculate the prime factors of 82005 and 82024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82005 and 82024.

How to find the GCF of 82005 and 82024?

We will first find the prime factorization of 82005 and 82024. After we will calculate the factors of 82005 and 82024 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 82024

Prime factors of 82024 are 2, 10253. Prime factorization of 82024 in exponential form is:

82024 = 2³ × 10253¹

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 82024

List of positive integer factors of 82024 that divides 82005 without a remainder.

1, 2, 4, 8, 10253, 20506, 41012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82005 and 82024. The biggest common factor number is the GCF number.
So the greatest common factor 82005 and 82024 is 1.

Also check out the Least Common Multiple of 82005 and 82024