What is the Greatest Common Factor of 82005 and 82009?

Greatest common factor (GCF) of 82005 and 82009 is 1.

GCF(82005,82009) = 1

We will now calculate the prime factors of 82005 and 82009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82005 and 82009.

How to find the GCF of 82005 and 82009?

We will first find the prime factorization of 82005 and 82009. After we will calculate the factors of 82005 and 82009 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 82009

Prime factors of 82009 are 82009. Prime factorization of 82009 in exponential form is:

82009 = 82009¹

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 82009

List of positive integer factors of 82009 that divides 82005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82005 and 82009. The biggest common factor number is the GCF number.
So the greatest common factor 82005 and 82009 is 1.

Also check out the Least Common Multiple of 82005 and 82009