What is the Greatest Common Factor of 16065 and 16072?

Greatest common factor (GCF) of 16065 and 16072 is 7.

GCF(16065,16072) = 7

We will now calculate the prime factors of 16065 and 16072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16065 and 16072.

How to find the GCF of 16065 and 16072?

We will first find the prime factorization of 16065 and 16072. After we will calculate the factors of 16065 and 16072 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 16072

Prime factors of 16072 are 2, 7, 41. Prime factorization of 16072 in exponential form is:

16072 = 2³ × 7² × 41¹

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 16072

List of positive integer factors of 16072 that divides 16065 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 49, 56, 82, 98, 164, 196, 287, 328, 392, 574, 1148, 2009, 2296, 4018, 8036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16065 and 16072. The biggest common factor number is the GCF number.
So the greatest common factor 16065 and 16072 is 7.

Also check out the Least Common Multiple of 16065 and 16072