What is the Greatest Common Factor of 18240 and 18256?

Greatest common factor (GCF) of 18240 and 18256 is 16.

GCF(18240,18256) = 16

We will now calculate the prime factors of 18240 and 18256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18240 and 18256.

How to find the GCF of 18240 and 18256?

We will first find the prime factorization of 18240 and 18256. After we will calculate the factors of 18240 and 18256 and find the biggest common factor number .

Step-1: Prime Factorization of 18240

Prime factors of 18240 are 2, 3, 5, 19. Prime factorization of 18240 in exponential form is:

18240 = 2⁶ × 3¹ × 5¹ × 19¹

Step-2: 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-3: Factors of 18240

List of positive integer factors of 18240 that divides 18240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 64, 76, 80, 95, 96, 114, 120, 152, 160, 190, 192, 228, 240, 285, 304, 320, 380, 456, 480, 570, 608, 760, 912, 960, 1140, 1216, 1520, 1824, 2280, 3040, 3648, 4560, 6080, 9120

Step-4: Factors of 18256

List of positive integer factors of 18256 that divides 18240 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18240 and 18256. The biggest common factor number is the GCF number.
So the greatest common factor 18240 and 18256 is 16.

Also check out the Least Common Multiple of 18240 and 18256