What is the Greatest Common Factor of 18324 and 18342?

Greatest common factor (GCF) of 18324 and 18342 is 18.

GCF(18324,18342) = 18

We will now calculate the prime factors of 18324 and 18342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18324 and 18342.

How to find the GCF of 18324 and 18342?

We will first find the prime factorization of 18324 and 18342. After we will calculate the factors of 18324 and 18342 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 18342

Prime factors of 18342 are 2, 3, 1019. Prime factorization of 18342 in exponential form is:

18342 = 2¹ × 3² × 1019¹

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 18342

List of positive integer factors of 18342 that divides 18324 without a remainder.

1, 2, 3, 6, 9, 18, 1019, 2038, 3057, 6114, 9171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18324 and 18342. The biggest common factor number is the GCF number.
So the greatest common factor 18324 and 18342 is 18.

Also check out the Least Common Multiple of 18324 and 18342