What is the Greatest Common Factor of 18288 and 18298?

Greatest common factor (GCF) of 18288 and 18298 is 2.

GCF(18288,18298) = 2

We will now calculate the prime factors of 18288 and 18298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18288 and 18298.

How to find the GCF of 18288 and 18298?

We will first find the prime factorization of 18288 and 18298. After we will calculate the factors of 18288 and 18298 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 18298

Prime factors of 18298 are 2, 7, 1307. Prime factorization of 18298 in exponential form is:

18298 = 2¹ × 7¹ × 1307¹

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 18298

List of positive integer factors of 18298 that divides 18288 without a remainder.

1, 2, 7, 14, 1307, 2614, 9149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18288 and 18298. The biggest common factor number is the GCF number.
So the greatest common factor 18288 and 18298 is 2.

Also check out the Least Common Multiple of 18288 and 18298