What is the Greatest Common Factor of 8165 and 8175?

Greatest common factor (GCF) of 8165 and 8175 is 5.

GCF(8165,8175) = 5

We will now calculate the prime factors of 8165 and 8175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8165 and 8175.

How to find the GCF of 8165 and 8175?

We will first find the prime factorization of 8165 and 8175. After we will calculate the factors of 8165 and 8175 and find the biggest common factor number .

Step-1: Prime Factorization of 8165

Prime factors of 8165 are 5, 23, 71. Prime factorization of 8165 in exponential form is:

8165 = 5¹ × 23¹ × 71¹

Step-2: Prime Factorization of 8175

Prime factors of 8175 are 3, 5, 109. Prime factorization of 8175 in exponential form is:

8175 = 3¹ × 5² × 109¹

Step-3: Factors of 8165

List of positive integer factors of 8165 that divides 8165 without a remainder.

1, 5, 23, 71, 115, 355, 1633

Step-4: Factors of 8175

List of positive integer factors of 8175 that divides 8165 without a remainder.

1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8165 and 8175. The biggest common factor number is the GCF number.
So the greatest common factor 8165 and 8175 is 5.

Also check out the Least Common Multiple of 8165 and 8175