What is the Greatest Common Factor of 16175 and 16190?

Greatest common factor (GCF) of 16175 and 16190 is 5.

GCF(16175,16190) = 5

We will now calculate the prime factors of 16175 and 16190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16175 and 16190.

How to find the GCF of 16175 and 16190?

We will first find the prime factorization of 16175 and 16190. After we will calculate the factors of 16175 and 16190 and find the biggest common factor number .

Step-1: Prime Factorization of 16175

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

16175 = 5² × 647¹

Step-2: Prime Factorization of 16190

Prime factors of 16190 are 2, 5, 1619. Prime factorization of 16190 in exponential form is:

16190 = 2¹ × 5¹ × 1619¹

Step-3: Factors of 16175

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

1, 5, 25, 647, 3235

Step-4: Factors of 16190

List of positive integer factors of 16190 that divides 16175 without a remainder.

1, 2, 5, 10, 1619, 3238, 8095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16175 and 16190. The biggest common factor number is the GCF number.
So the greatest common factor 16175 and 16190 is 5.

Also check out the Least Common Multiple of 16175 and 16190