What is the Greatest Common Factor of 18259 and 18272?

Greatest common factor (GCF) of 18259 and 18272 is 1.

GCF(18259,18272) = 1

We will now calculate the prime factors of 18259 and 18272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18259 and 18272.

How to find the GCF of 18259 and 18272?

We will first find the prime factorization of 18259 and 18272. After we will calculate the factors of 18259 and 18272 and find the biggest common factor number .

Step-1: Prime Factorization of 18259

Prime factors of 18259 are 19, 31. Prime factorization of 18259 in exponential form is:

18259 = 19¹ × 31²

Step-2: Prime Factorization of 18272

Prime factors of 18272 are 2, 571. Prime factorization of 18272 in exponential form is:

18272 = 2⁵ × 571¹

Step-3: Factors of 18259

List of positive integer factors of 18259 that divides 18259 without a remainder.

1, 19, 31, 589, 961

Step-4: Factors of 18272

List of positive integer factors of 18272 that divides 18259 without a remainder.

1, 2, 4, 8, 16, 32, 571, 1142, 2284, 4568, 9136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18259 and 18272. The biggest common factor number is the GCF number.
So the greatest common factor 18259 and 18272 is 1.

Also check out the Least Common Multiple of 18259 and 18272