What is the Greatest Common Factor of 96320 and 96338?

Greatest common factor (GCF) of 96320 and 96338 is 2.

GCF(96320,96338) = 2

We will now calculate the prime factors of 96320 and 96338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96320 and 96338.

How to find the GCF of 96320 and 96338?

We will first find the prime factorization of 96320 and 96338. After we will calculate the factors of 96320 and 96338 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 96338

Prime factors of 96338 are 2, 11, 29, 151. Prime factorization of 96338 in exponential form is:

96338 = 2¹ × 11¹ × 29¹ × 151¹

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 96338

List of positive integer factors of 96338 that divides 96320 without a remainder.

1, 2, 11, 22, 29, 58, 151, 302, 319, 638, 1661, 3322, 4379, 8758, 48169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96320 and 96338. The biggest common factor number is the GCF number.
So the greatest common factor 96320 and 96338 is 2.

Also check out the Least Common Multiple of 96320 and 96338