What is the Greatest Common Factor of 18270 and 18288?

Greatest common factor (GCF) of 18270 and 18288 is 18.

GCF(18270,18288) = 18

We will now calculate the prime factors of 18270 and 18288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18270 and 18288.

How to find the GCF of 18270 and 18288?

We will first find the prime factorization of 18270 and 18288. After we will calculate the factors of 18270 and 18288 and find the biggest common factor number .

Step-1: Prime Factorization of 18270

Prime factors of 18270 are 2, 3, 5, 7, 29. Prime factorization of 18270 in exponential form is:

18270 = 2¹ × 3² × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 18288

Prime factors of 18288 are 2, 3, 127. Prime factorization of 18288 in exponential form is:

18288 = 2⁴ × 3² × 127¹

Step-3: Factors of 18270

List of positive integer factors of 18270 that divides 18270 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 29, 30, 35, 42, 45, 58, 63, 70, 87, 90, 105, 126, 145, 174, 203, 210, 261, 290, 315, 406, 435, 522, 609, 630, 870, 1015, 1218, 1305, 1827, 2030, 2610, 3045, 3654, 6090, 9135

Step-4: Factors of 18288

List of positive integer factors of 18288 that divides 18270 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 127, 144, 254, 381, 508, 762, 1016, 1143, 1524, 2032, 2286, 3048, 4572, 6096, 9144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18270 and 18288. The biggest common factor number is the GCF number.
So the greatest common factor 18270 and 18288 is 18.

Also check out the Least Common Multiple of 18270 and 18288