What is the Greatest Common Factor of 18336 and 18342?

Greatest common factor (GCF) of 18336 and 18342 is 6.

GCF(18336,18342) = 6

We will now calculate the prime factors of 18336 and 18342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18336 and 18342.

How to find the GCF of 18336 and 18342?

We will first find the prime factorization of 18336 and 18342. After we will calculate the factors of 18336 and 18342 and find the biggest common factor number .

Step-1: 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-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 18336

List of positive integer factors of 18336 that divides 18336 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

Step-4: Factors of 18342

List of positive integer factors of 18342 that divides 18336 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 18336 and 18342. The biggest common factor number is the GCF number.
So the greatest common factor 18336 and 18342 is 6.

Also check out the Least Common Multiple of 18336 and 18342