What is the Greatest Common Factor of 96320 and 96335?

Greatest common factor (GCF) of 96320 and 96335 is 5.

GCF(96320,96335) = 5

We will now calculate the prime factors of 96320 and 96335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96320 and 96335.

How to find the GCF of 96320 and 96335?

We will first find the prime factorization of 96320 and 96335. After we will calculate the factors of 96320 and 96335 and find the biggest common factor number .

Step-1: Prime Factorization of 96320

Prime factors of 96320 are 2, 5, 7, 43. Prime factorization of 96320 in exponential form is:

96320 = 2⁶ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 96335

Prime factors of 96335 are 5, 19267. Prime factorization of 96335 in exponential form is:

96335 = 5¹ × 19267¹

Step-3: Factors of 96320

List of positive integer factors of 96320 that divides 96320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 43, 56, 64, 70, 80, 86, 112, 140, 160, 172, 215, 224, 280, 301, 320, 344, 430, 448, 560, 602, 688, 860, 1120, 1204, 1376, 1505, 1720, 2240, 2408, 2752, 3010, 3440, 4816, 6020, 6880, 9632, 12040, 13760, 19264, 24080, 48160

Step-4: Factors of 96335

List of positive integer factors of 96335 that divides 96320 without a remainder.

1, 5, 19267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96320 and 96335. The biggest common factor number is the GCF number.
So the greatest common factor 96320 and 96335 is 5.

Also check out the Least Common Multiple of 96320 and 96335