What is the Greatest Common Factor of 96338 and 96350?

Greatest common factor (GCF) of 96338 and 96350 is 2.

GCF(96338,96350) = 2

We will now calculate the prime factors of 96338 and 96350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96338 and 96350.

How to find the GCF of 96338 and 96350?

We will first find the prime factorization of 96338 and 96350. After we will calculate the factors of 96338 and 96350 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96350

Prime factors of 96350 are 2, 5, 41, 47. Prime factorization of 96350 in exponential form is:

96350 = 2¹ × 5² × 41¹ × 47¹

Step-3: Factors of 96338

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

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

Step-4: Factors of 96350

List of positive integer factors of 96350 that divides 96338 without a remainder.

1, 2, 5, 10, 25, 41, 47, 50, 82, 94, 205, 235, 410, 470, 1025, 1175, 1927, 2050, 2350, 3854, 9635, 19270, 48175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96338 and 96350. The biggest common factor number is the GCF number.
So the greatest common factor 96338 and 96350 is 2.

Also check out the Least Common Multiple of 96338 and 96350