What is the Greatest Common Factor of 18270 and 18284?

Greatest common factor (GCF) of 18270 and 18284 is 14.

GCF(18270,18284) = 14

We will now calculate the prime factors of 18270 and 18284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18270 and 18284.

How to find the GCF of 18270 and 18284?

We will first find the prime factorization of 18270 and 18284. After we will calculate the factors of 18270 and 18284 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 18284

Prime factors of 18284 are 2, 7, 653. Prime factorization of 18284 in exponential form is:

18284 = 2² × 7¹ × 653¹

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 18284

List of positive integer factors of 18284 that divides 18270 without a remainder.

1, 2, 4, 7, 14, 28, 653, 1306, 2612, 4571, 9142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18270 and 18284. The biggest common factor number is the GCF number.
So the greatest common factor 18270 and 18284 is 14.

Also check out the Least Common Multiple of 18270 and 18284