What is the Greatest Common Factor of 82175 and 82195?

Greatest common factor (GCF) of 82175 and 82195 is 5.

GCF(82175,82195) = 5

We will now calculate the prime factors of 82175 and 82195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82175 and 82195.

How to find the GCF of 82175 and 82195?

We will first find the prime factorization of 82175 and 82195. After we will calculate the factors of 82175 and 82195 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82195

Prime factors of 82195 are 5, 17, 967. Prime factorization of 82195 in exponential form is:

82195 = 5¹ × 17¹ × 967¹

Step-3: Factors of 82175

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

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

Step-4: Factors of 82195

List of positive integer factors of 82195 that divides 82175 without a remainder.

1, 5, 17, 85, 967, 4835, 16439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82175 and 82195. The biggest common factor number is the GCF number.
So the greatest common factor 82175 and 82195 is 5.

Also check out the Least Common Multiple of 82175 and 82195