What is the Greatest Common Factor of 18256 and 18274?

Greatest common factor (GCF) of 18256 and 18274 is 2.

GCF(18256,18274) = 2

We will now calculate the prime factors of 18256 and 18274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18256 and 18274.

How to find the GCF of 18256 and 18274?

We will first find the prime factorization of 18256 and 18274. After we will calculate the factors of 18256 and 18274 and find the biggest common factor number .

Step-1: Prime Factorization of 18256

Prime factors of 18256 are 2, 7, 163. Prime factorization of 18256 in exponential form is:

18256 = 2⁴ × 7¹ × 163¹

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 18256

List of positive integer factors of 18256 that divides 18256 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 163, 326, 652, 1141, 1304, 2282, 2608, 4564, 9128

Step-4: Factors of 18274

List of positive integer factors of 18274 that divides 18256 without a remainder.

1, 2, 9137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18256 and 18274. The biggest common factor number is the GCF number.
So the greatest common factor 18256 and 18274 is 2.

Also check out the Least Common Multiple of 18256 and 18274