What is the Greatest Common Factor of 92304 and 92320?

Greatest common factor (GCF) of 92304 and 92320 is 16.

GCF(92304,92320) = 16

We will now calculate the prime factors of 92304 and 92320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92304 and 92320.

How to find the GCF of 92304 and 92320?

We will first find the prime factorization of 92304 and 92320. After we will calculate the factors of 92304 and 92320 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 92320

Prime factors of 92320 are 2, 5, 577. Prime factorization of 92320 in exponential form is:

92320 = 2⁵ × 5¹ × 577¹

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 92320

List of positive integer factors of 92320 that divides 92304 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 577, 1154, 2308, 2885, 4616, 5770, 9232, 11540, 18464, 23080, 46160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92304 and 92320. The biggest common factor number is the GCF number.
So the greatest common factor 92304 and 92320 is 16.

Also check out the Least Common Multiple of 92304 and 92320