What is the Greatest Common Factor of 16059 and 16065?

Greatest common factor (GCF) of 16059 and 16065 is 3.

GCF(16059,16065) = 3

We will now calculate the prime factors of 16059 and 16065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16059 and 16065.

How to find the GCF of 16059 and 16065?

We will first find the prime factorization of 16059 and 16065. After we will calculate the factors of 16059 and 16065 and find the biggest common factor number .

Step-1: Prime Factorization of 16059

Prime factors of 16059 are 3, 53, 101. Prime factorization of 16059 in exponential form is:

16059 = 3¹ × 53¹ × 101¹

Step-2: Prime Factorization of 16065

Prime factors of 16065 are 3, 5, 7, 17. Prime factorization of 16065 in exponential form is:

16065 = 3³ × 5¹ × 7¹ × 17¹

Step-3: Factors of 16059

List of positive integer factors of 16059 that divides 16059 without a remainder.

1, 3, 53, 101, 159, 303, 5353

Step-4: Factors of 16065

List of positive integer factors of 16065 that divides 16059 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 27, 35, 45, 51, 63, 85, 105, 119, 135, 153, 189, 255, 315, 357, 459, 595, 765, 945, 1071, 1785, 2295, 3213, 5355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16059 and 16065. The biggest common factor number is the GCF number.
So the greatest common factor 16059 and 16065 is 3.

Also check out the Least Common Multiple of 16059 and 16065