What is the Greatest Common Factor of 18221 and 18240?

Greatest common factor (GCF) of 18221 and 18240 is 19.

GCF(18221,18240) = 19

We will now calculate the prime factors of 18221 and 18240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18221 and 18240.

How to find the GCF of 18221 and 18240?

We will first find the prime factorization of 18221 and 18240. After we will calculate the factors of 18221 and 18240 and find the biggest common factor number .

Step-1: Prime Factorization of 18221

Prime factors of 18221 are 7, 19, 137. Prime factorization of 18221 in exponential form is:

18221 = 7¹ × 19¹ × 137¹

Step-2: 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-3: Factors of 18221

List of positive integer factors of 18221 that divides 18221 without a remainder.

1, 7, 19, 133, 137, 959, 2603

Step-4: Factors of 18240

List of positive integer factors of 18240 that divides 18221 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18221 and 18240. The biggest common factor number is the GCF number.
So the greatest common factor 18221 and 18240 is 19.

Also check out the Least Common Multiple of 18221 and 18240