What is the Greatest Common Factor of 82065 and 82071?

Greatest common factor (GCF) of 82065 and 82071 is 3.

GCF(82065,82071) = 3

We will now calculate the prime factors of 82065 and 82071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82065 and 82071.

How to find the GCF of 82065 and 82071?

We will first find the prime factorization of 82065 and 82071. After we will calculate the factors of 82065 and 82071 and find the biggest common factor number .

Step-1: Prime Factorization of 82065

Prime factors of 82065 are 3, 5, 5471. Prime factorization of 82065 in exponential form is:

82065 = 3¹ × 5¹ × 5471¹

Step-2: Prime Factorization of 82071

Prime factors of 82071 are 3, 11, 829. Prime factorization of 82071 in exponential form is:

82071 = 3² × 11¹ × 829¹

Step-3: Factors of 82065

List of positive integer factors of 82065 that divides 82065 without a remainder.

1, 3, 5, 15, 5471, 16413, 27355

Step-4: Factors of 82071

List of positive integer factors of 82071 that divides 82065 without a remainder.

1, 3, 9, 11, 33, 99, 829, 2487, 7461, 9119, 27357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82065 and 82071. The biggest common factor number is the GCF number.
So the greatest common factor 82065 and 82071 is 3.

Also check out the Least Common Multiple of 82065 and 82071