What is the Greatest Common Factor of 18270 and 18287?

Greatest common factor (GCF) of 18270 and 18287 is 1.

GCF(18270,18287) = 1

We will now calculate the prime factors of 18270 and 18287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18270 and 18287.

How to find the GCF of 18270 and 18287?

We will first find the prime factorization of 18270 and 18287. After we will calculate the factors of 18270 and 18287 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 18287

Prime factors of 18287 are 18287. Prime factorization of 18287 in exponential form is:

18287 = 18287¹

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 18287

List of positive integer factors of 18287 that divides 18270 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18270 and 18287. The biggest common factor number is the GCF number.
So the greatest common factor 18270 and 18287 is 1.

Also check out the Least Common Multiple of 18270 and 18287