What is the Greatest Common Factor of 16066 and 16075?

Greatest common factor (GCF) of 16066 and 16075 is 1.

GCF(16066,16075) = 1

We will now calculate the prime factors of 16066 and 16075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16066 and 16075.

How to find the GCF of 16066 and 16075?

We will first find the prime factorization of 16066 and 16075. After we will calculate the factors of 16066 and 16075 and find the biggest common factor number .

Step-1: Prime Factorization of 16066

Prime factors of 16066 are 2, 29, 277. Prime factorization of 16066 in exponential form is:

16066 = 2¹ × 29¹ × 277¹

Step-2: Prime Factorization of 16075

Prime factors of 16075 are 5, 643. Prime factorization of 16075 in exponential form is:

16075 = 5² × 643¹

Step-3: Factors of 16066

List of positive integer factors of 16066 that divides 16066 without a remainder.

1, 2, 29, 58, 277, 554, 8033

Step-4: Factors of 16075

List of positive integer factors of 16075 that divides 16066 without a remainder.

1, 5, 25, 643, 3215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16066 and 16075. The biggest common factor number is the GCF number.
So the greatest common factor 16066 and 16075 is 1.

Also check out the Least Common Multiple of 16066 and 16075