What is the Greatest Common Factor of 82005 and 82011?

Greatest common factor (GCF) of 82005 and 82011 is 3.

GCF(82005,82011) = 3

We will now calculate the prime factors of 82005 and 82011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82005 and 82011.

How to find the GCF of 82005 and 82011?

We will first find the prime factorization of 82005 and 82011. After we will calculate the factors of 82005 and 82011 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 82011

Prime factors of 82011 are 3, 27337. Prime factorization of 82011 in exponential form is:

82011 = 3¹ × 27337¹

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 82011

List of positive integer factors of 82011 that divides 82005 without a remainder.

1, 3, 27337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82005 and 82011. The biggest common factor number is the GCF number.
So the greatest common factor 82005 and 82011 is 3.

Also check out the Least Common Multiple of 82005 and 82011