What is the Greatest Common Factor of 82065 and 82075?

Greatest common factor (GCF) of 82065 and 82075 is 5.

GCF(82065,82075) = 5

We will now calculate the prime factors of 82065 and 82075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82065 and 82075.

How to find the GCF of 82065 and 82075?

We will first find the prime factorization of 82065 and 82075. After we will calculate the factors of 82065 and 82075 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 82075

Prime factors of 82075 are 5, 7, 67. Prime factorization of 82075 in exponential form is:

82075 = 5² × 7² × 67¹

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 82075

List of positive integer factors of 82075 that divides 82065 without a remainder.

1, 5, 7, 25, 35, 49, 67, 175, 245, 335, 469, 1225, 1675, 2345, 3283, 11725, 16415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82065 and 82075. The biggest common factor number is the GCF number.
So the greatest common factor 82065 and 82075 is 5.

Also check out the Least Common Multiple of 82065 and 82075