What is the Greatest Common Factor of 18234 and 18240?

Greatest common factor (GCF) of 18234 and 18240 is 6.

GCF(18234,18240) = 6

We will now calculate the prime factors of 18234 and 18240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18234 and 18240.

How to find the GCF of 18234 and 18240?

We will first find the prime factorization of 18234 and 18240. After we will calculate the factors of 18234 and 18240 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18240

Prime factors of 18240 are 2, 3, 5, 19. Prime factorization of 18240 in exponential form is:

18240 = 2⁶ × 3¹ × 5¹ × 19¹

Step-3: Factors of 18234

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

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

Step-4: Factors of 18240

List of positive integer factors of 18240 that divides 18234 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 64, 76, 80, 95, 96, 114, 120, 152, 160, 190, 192, 228, 240, 285, 304, 320, 380, 456, 480, 570, 608, 760, 912, 960, 1140, 1216, 1520, 1824, 2280, 3040, 3648, 4560, 6080, 9120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18234 and 18240. The biggest common factor number is the GCF number.
So the greatest common factor 18234 and 18240 is 6.

Also check out the Least Common Multiple of 18234 and 18240