What is the Greatest Common Factor of 18259 and 18274?

Greatest common factor (GCF) of 18259 and 18274 is 1.

GCF(18259,18274) = 1

We will now calculate the prime factors of 18259 and 18274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18259 and 18274.

How to find the GCF of 18259 and 18274?

We will first find the prime factorization of 18259 and 18274. After we will calculate the factors of 18259 and 18274 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 18274

Prime factors of 18274 are 2, 9137. Prime factorization of 18274 in exponential form is:

18274 = 2¹ × 9137¹

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 18274

List of positive integer factors of 18274 that divides 18259 without a remainder.

1, 2, 9137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18259 and 18274. The biggest common factor number is the GCF number.
So the greatest common factor 18259 and 18274 is 1.

Also check out the Least Common Multiple of 18259 and 18274