What is the Greatest Common Factor of 18216 and 18234?

Greatest common factor (GCF) of 18216 and 18234 is 18.

GCF(18216,18234) = 18

We will now calculate the prime factors of 18216 and 18234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18216 and 18234.

How to find the GCF of 18216 and 18234?

We will first find the prime factorization of 18216 and 18234. After we will calculate the factors of 18216 and 18234 and find the biggest common factor number .

Step-1: Prime Factorization of 18216

Prime factors of 18216 are 2, 3, 11, 23. Prime factorization of 18216 in exponential form is:

18216 = 2³ × 3² × 11¹ × 23¹

Step-2: Prime Factorization of 18234

Prime factors of 18234 are 2, 3, 1013. Prime factorization of 18234 in exponential form is:

18234 = 2¹ × 3² × 1013¹

Step-3: Factors of 18216

List of positive integer factors of 18216 that divides 18216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 23, 24, 33, 36, 44, 46, 66, 69, 72, 88, 92, 99, 132, 138, 184, 198, 207, 253, 264, 276, 396, 414, 506, 552, 759, 792, 828, 1012, 1518, 1656, 2024, 2277, 3036, 4554, 6072, 9108

Step-4: Factors of 18234

List of positive integer factors of 18234 that divides 18216 without a remainder.

1, 2, 3, 6, 9, 18, 1013, 2026, 3039, 6078, 9117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18216 and 18234. The biggest common factor number is the GCF number.
So the greatest common factor 18216 and 18234 is 18.

Also check out the Least Common Multiple of 18216 and 18234