What is the Greatest Common Factor of 18336 and 18352?

Greatest common factor (GCF) of 18336 and 18352 is 16.

GCF(18336,18352) = 16

We will now calculate the prime factors of 18336 and 18352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18336 and 18352.

How to find the GCF of 18336 and 18352?

We will first find the prime factorization of 18336 and 18352. After we will calculate the factors of 18336 and 18352 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 18352

Prime factors of 18352 are 2, 31, 37. Prime factorization of 18352 in exponential form is:

18352 = 2⁴ × 31¹ × 37¹

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 18352

List of positive integer factors of 18352 that divides 18336 without a remainder.

1, 2, 4, 8, 16, 31, 37, 62, 74, 124, 148, 248, 296, 496, 592, 1147, 2294, 4588, 9176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18336 and 18352. The biggest common factor number is the GCF number.
So the greatest common factor 18336 and 18352 is 16.

Also check out the Least Common Multiple of 18336 and 18352