What is the Greatest Common Factor of 18288 and 18308?

Greatest common factor (GCF) of 18288 and 18308 is 4.

GCF(18288,18308) = 4

We will now calculate the prime factors of 18288 and 18308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18288 and 18308.

How to find the GCF of 18288 and 18308?

We will first find the prime factorization of 18288 and 18308. After we will calculate the factors of 18288 and 18308 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 18308

Prime factors of 18308 are 2, 23, 199. Prime factorization of 18308 in exponential form is:

18308 = 2² × 23¹ × 199¹

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 18308

List of positive integer factors of 18308 that divides 18288 without a remainder.

1, 2, 4, 23, 46, 92, 199, 398, 796, 4577, 9154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18288 and 18308. The biggest common factor number is the GCF number.
So the greatest common factor 18288 and 18308 is 4.

Also check out the Least Common Multiple of 18288 and 18308