What is the Greatest Common Factor of 18288 and 18302?

Greatest common factor (GCF) of 18288 and 18302 is 2.

GCF(18288,18302) = 2

We will now calculate the prime factors of 18288 and 18302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18288 and 18302.

How to find the GCF of 18288 and 18302?

We will first find the prime factorization of 18288 and 18302. After we will calculate the factors of 18288 and 18302 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 18302

Prime factors of 18302 are 2, 9151. Prime factorization of 18302 in exponential form is:

18302 = 2¹ × 9151¹

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 18302

List of positive integer factors of 18302 that divides 18288 without a remainder.

1, 2, 9151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18288 and 18302. The biggest common factor number is the GCF number.
So the greatest common factor 18288 and 18302 is 2.

Also check out the Least Common Multiple of 18288 and 18302