What is the Greatest Common Factor of 92320 and 92334?

Greatest common factor (GCF) of 92320 and 92334 is 2.

GCF(92320,92334) = 2

We will now calculate the prime factors of 92320 and 92334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92320 and 92334.

How to find the GCF of 92320 and 92334?

We will first find the prime factorization of 92320 and 92334. After we will calculate the factors of 92320 and 92334 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92334

Prime factors of 92334 are 2, 3, 11, 1399. Prime factorization of 92334 in exponential form is:

92334 = 2¹ × 3¹ × 11¹ × 1399¹

Step-3: Factors of 92320

List of positive integer factors of 92320 that divides 92320 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

Step-4: Factors of 92334

List of positive integer factors of 92334 that divides 92320 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1399, 2798, 4197, 8394, 15389, 30778, 46167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92320 and 92334. The biggest common factor number is the GCF number.
So the greatest common factor 92320 and 92334 is 2.

Also check out the Least Common Multiple of 92320 and 92334