What is the Greatest Common Factor of 96368 and 96386?

Greatest common factor (GCF) of 96368 and 96386 is 2.

GCF(96368,96386) = 2

We will now calculate the prime factors of 96368 and 96386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96368 and 96386.

How to find the GCF of 96368 and 96386?

We will first find the prime factorization of 96368 and 96386. After we will calculate the factors of 96368 and 96386 and find the biggest common factor number .

Step-1: Prime Factorization of 96368

Prime factors of 96368 are 2, 19, 317. Prime factorization of 96368 in exponential form is:

96368 = 2⁴ × 19¹ × 317¹

Step-2: Prime Factorization of 96386

Prime factors of 96386 are 2, 48193. Prime factorization of 96386 in exponential form is:

96386 = 2¹ × 48193¹

Step-3: Factors of 96368

List of positive integer factors of 96368 that divides 96368 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 317, 634, 1268, 2536, 5072, 6023, 12046, 24092, 48184

Step-4: Factors of 96386

List of positive integer factors of 96386 that divides 96368 without a remainder.

1, 2, 48193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96368 and 96386. The biggest common factor number is the GCF number.
So the greatest common factor 96368 and 96386 is 2.

Also check out the Least Common Multiple of 96368 and 96386