What is the Greatest Common Factor of 18288 and 18301?

Greatest common factor (GCF) of 18288 and 18301 is 1.

GCF(18288,18301) = 1

We will now calculate the prime factors of 18288 and 18301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18288 and 18301.

How to find the GCF of 18288 and 18301?

We will first find the prime factorization of 18288 and 18301. After we will calculate the factors of 18288 and 18301 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18301

Prime factors of 18301 are 18301. Prime factorization of 18301 in exponential form is:

18301 = 18301¹

Step-3: Factors of 18288

List of positive integer factors of 18288 that divides 18288 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

Step-4: Factors of 18301

List of positive integer factors of 18301 that divides 18288 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18288 and 18301. The biggest common factor number is the GCF number.
So the greatest common factor 18288 and 18301 is 1.

Also check out the Least Common Multiple of 18288 and 18301