What is the Greatest Common Factor of 82065 and 82084?

Greatest common factor (GCF) of 82065 and 82084 is 1.

GCF(82065,82084) = 1

We will now calculate the prime factors of 82065 and 82084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82065 and 82084.

How to find the GCF of 82065 and 82084?

We will first find the prime factorization of 82065 and 82084. After we will calculate the factors of 82065 and 82084 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 82084

Prime factors of 82084 are 2, 20521. Prime factorization of 82084 in exponential form is:

82084 = 2² × 20521¹

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 82084

List of positive integer factors of 82084 that divides 82065 without a remainder.

1, 2, 4, 20521, 41042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82065 and 82084. The biggest common factor number is the GCF number.
So the greatest common factor 82065 and 82084 is 1.

Also check out the Least Common Multiple of 82065 and 82084