What is the Greatest Common Factor of 16275 and 16288?

Greatest common factor (GCF) of 16275 and 16288 is 1.

GCF(16275,16288) = 1

We will now calculate the prime factors of 16275 and 16288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16275 and 16288.

How to find the GCF of 16275 and 16288?

We will first find the prime factorization of 16275 and 16288. After we will calculate the factors of 16275 and 16288 and find the biggest common factor number .

Step-1: Prime Factorization of 16275

Prime factors of 16275 are 3, 5, 7, 31. Prime factorization of 16275 in exponential form is:

16275 = 3¹ × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 16288

Prime factors of 16288 are 2, 509. Prime factorization of 16288 in exponential form is:

16288 = 2⁵ × 509¹

Step-3: Factors of 16275

List of positive integer factors of 16275 that divides 16275 without a remainder.

1, 3, 5, 7, 15, 21, 25, 31, 35, 75, 93, 105, 155, 175, 217, 465, 525, 651, 775, 1085, 2325, 3255, 5425

Step-4: Factors of 16288

List of positive integer factors of 16288 that divides 16275 without a remainder.

1, 2, 4, 8, 16, 32, 509, 1018, 2036, 4072, 8144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16275 and 16288. The biggest common factor number is the GCF number.
So the greatest common factor 16275 and 16288 is 1.

Also check out the Least Common Multiple of 16275 and 16288