What is the Greatest Common Factor of 92304 and 92318?

Greatest common factor (GCF) of 92304 and 92318 is 2.

GCF(92304,92318) = 2

We will now calculate the prime factors of 92304 and 92318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92304 and 92318.

How to find the GCF of 92304 and 92318?

We will first find the prime factorization of 92304 and 92318. After we will calculate the factors of 92304 and 92318 and find the biggest common factor number .

Step-1: Prime Factorization of 92304

Prime factors of 92304 are 2, 3, 641. Prime factorization of 92304 in exponential form is:

92304 = 2⁴ × 3² × 641¹

Step-2: Prime Factorization of 92318

Prime factors of 92318 are 2, 31, 1489. Prime factorization of 92318 in exponential form is:

92318 = 2¹ × 31¹ × 1489¹

Step-3: Factors of 92304

List of positive integer factors of 92304 that divides 92304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 641, 1282, 1923, 2564, 3846, 5128, 5769, 7692, 10256, 11538, 15384, 23076, 30768, 46152

Step-4: Factors of 92318

List of positive integer factors of 92318 that divides 92304 without a remainder.

1, 2, 31, 62, 1489, 2978, 46159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92304 and 92318. The biggest common factor number is the GCF number.
So the greatest common factor 92304 and 92318 is 2.

Also check out the Least Common Multiple of 92304 and 92318