What is the Greatest Common Factor of 16160 and 16175?

Greatest common factor (GCF) of 16160 and 16175 is 5.

GCF(16160,16175) = 5

We will now calculate the prime factors of 16160 and 16175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16160 and 16175.

How to find the GCF of 16160 and 16175?

We will first find the prime factorization of 16160 and 16175. After we will calculate the factors of 16160 and 16175 and find the biggest common factor number .

Step-1: Prime Factorization of 16160

Prime factors of 16160 are 2, 5, 101. Prime factorization of 16160 in exponential form is:

16160 = 2⁵ × 5¹ × 101¹

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 16160

List of positive integer factors of 16160 that divides 16160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 101, 160, 202, 404, 505, 808, 1010, 1616, 2020, 3232, 4040, 8080

Step-4: Factors of 16175

List of positive integer factors of 16175 that divides 16160 without a remainder.

1, 5, 25, 647, 3235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16160 and 16175. The biggest common factor number is the GCF number.
So the greatest common factor 16160 and 16175 is 5.

Also check out the Least Common Multiple of 16160 and 16175