What is the Greatest Common Factor of 16165 and 16175?

Greatest common factor (GCF) of 16165 and 16175 is 5.

GCF(16165,16175) = 5

We will now calculate the prime factors of 16165 and 16175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16165 and 16175.

How to find the GCF of 16165 and 16175?

We will first find the prime factorization of 16165 and 16175. After we will calculate the factors of 16165 and 16175 and find the biggest common factor number .

Step-1: Prime Factorization of 16165

Prime factors of 16165 are 5, 53, 61. Prime factorization of 16165 in exponential form is:

16165 = 5¹ × 53¹ × 61¹

Step-2: Prime Factorization of 16175

Prime factors of 16175 are 5, 647. Prime factorization of 16175 in exponential form is:

16175 = 5² × 647¹

Step-3: Factors of 16165

List of positive integer factors of 16165 that divides 16165 without a remainder.

1, 5, 53, 61, 265, 305, 3233

Step-4: Factors of 16175

List of positive integer factors of 16175 that divides 16165 without a remainder.

1, 5, 25, 647, 3235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16165 and 16175. The biggest common factor number is the GCF number.
So the greatest common factor 16165 and 16175 is 5.

Also check out the Least Common Multiple of 16165 and 16175