What is the Greatest Common Factor of 16065 and 16077?

Greatest common factor (GCF) of 16065 and 16077 is 3.

GCF(16065,16077) = 3

We will now calculate the prime factors of 16065 and 16077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16065 and 16077.

How to find the GCF of 16065 and 16077?

We will first find the prime factorization of 16065 and 16077. After we will calculate the factors of 16065 and 16077 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16077

Prime factors of 16077 are 3, 23, 233. Prime factorization of 16077 in exponential form is:

16077 = 3¹ × 23¹ × 233¹

Step-3: Factors of 16065

List of positive integer factors of 16065 that divides 16065 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

Step-4: Factors of 16077

List of positive integer factors of 16077 that divides 16065 without a remainder.

1, 3, 23, 69, 233, 699, 5359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16065 and 16077. The biggest common factor number is the GCF number.
So the greatest common factor 16065 and 16077 is 3.

Also check out the Least Common Multiple of 16065 and 16077