What is the Greatest Common Factor of 92320 and 92335?

Greatest common factor (GCF) of 92320 and 92335 is 5.

GCF(92320,92335) = 5

We will now calculate the prime factors of 92320 and 92335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92320 and 92335.

How to find the GCF of 92320 and 92335?

We will first find the prime factorization of 92320 and 92335. After we will calculate the factors of 92320 and 92335 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 92335

Prime factors of 92335 are 5, 59, 313. Prime factorization of 92335 in exponential form is:

92335 = 5¹ × 59¹ × 313¹

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 92335

List of positive integer factors of 92335 that divides 92320 without a remainder.

1, 5, 59, 295, 313, 1565, 18467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92320 and 92335. The biggest common factor number is the GCF number.
So the greatest common factor 92320 and 92335 is 5.

Also check out the Least Common Multiple of 92320 and 92335