What is the Greatest Common Factor of 16259 and 16275?

Greatest common factor (GCF) of 16259 and 16275 is 1.

GCF(16259,16275) = 1

We will now calculate the prime factors of 16259 and 16275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16259 and 16275.

How to find the GCF of 16259 and 16275?

We will first find the prime factorization of 16259 and 16275. After we will calculate the factors of 16259 and 16275 and find the biggest common factor number .

Step-1: Prime Factorization of 16259

Prime factors of 16259 are 71, 229. Prime factorization of 16259 in exponential form is:

16259 = 71¹ × 229¹

Step-2: 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-3: Factors of 16259

List of positive integer factors of 16259 that divides 16259 without a remainder.

1, 71, 229

Step-4: Factors of 16275

List of positive integer factors of 16275 that divides 16259 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16259 and 16275. The biggest common factor number is the GCF number.
So the greatest common factor 16259 and 16275 is 1.

Also check out the Least Common Multiple of 16259 and 16275