What is the Greatest Common Factor of 18324 and 18336?

Greatest common factor (GCF) of 18324 and 18336 is 12.

GCF(18324,18336) = 12

We will now calculate the prime factors of 18324 and 18336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18324 and 18336.

How to find the GCF of 18324 and 18336?

We will first find the prime factorization of 18324 and 18336. After we will calculate the factors of 18324 and 18336 and find the biggest common factor number .

Step-1: Prime Factorization of 18324

Prime factors of 18324 are 2, 3, 509. Prime factorization of 18324 in exponential form is:

18324 = 2² × 3² × 509¹

Step-2: Prime Factorization of 18336

Prime factors of 18336 are 2, 3, 191. Prime factorization of 18336 in exponential form is:

18336 = 2⁵ × 3¹ × 191¹

Step-3: Factors of 18324

List of positive integer factors of 18324 that divides 18324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162

Step-4: Factors of 18336

List of positive integer factors of 18336 that divides 18324 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18324 and 18336. The biggest common factor number is the GCF number.
So the greatest common factor 18324 and 18336 is 12.

Also check out the Least Common Multiple of 18324 and 18336