What is the Greatest Common Factor of 82165 and 82175?

Greatest common factor (GCF) of 82165 and 82175 is 5.

GCF(82165,82175) = 5

We will now calculate the prime factors of 82165 and 82175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82165 and 82175.

How to find the GCF of 82165 and 82175?

We will first find the prime factorization of 82165 and 82175. After we will calculate the factors of 82165 and 82175 and find the biggest common factor number .

Step-1: Prime Factorization of 82165

Prime factors of 82165 are 5, 16433. Prime factorization of 82165 in exponential form is:

82165 = 5¹ × 16433¹

Step-2: Prime Factorization of 82175

Prime factors of 82175 are 5, 19, 173. Prime factorization of 82175 in exponential form is:

82175 = 5² × 19¹ × 173¹

Step-3: Factors of 82165

List of positive integer factors of 82165 that divides 82165 without a remainder.

1, 5, 16433

Step-4: Factors of 82175

List of positive integer factors of 82175 that divides 82165 without a remainder.

1, 5, 19, 25, 95, 173, 475, 865, 3287, 4325, 16435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82165 and 82175. The biggest common factor number is the GCF number.
So the greatest common factor 82165 and 82175 is 5.

Also check out the Least Common Multiple of 82165 and 82175