What is the Greatest Common Factor of 96349 and 96368?

Greatest common factor (GCF) of 96349 and 96368 is 19.

GCF(96349,96368) = 19

We will now calculate the prime factors of 96349 and 96368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96349 and 96368.

How to find the GCF of 96349 and 96368?

We will first find the prime factorization of 96349 and 96368. After we will calculate the factors of 96349 and 96368 and find the biggest common factor number .

Step-1: Prime Factorization of 96349

Prime factors of 96349 are 11, 19, 461. Prime factorization of 96349 in exponential form is:

96349 = 11¹ × 19¹ × 461¹

Step-2: 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-3: Factors of 96349

List of positive integer factors of 96349 that divides 96349 without a remainder.

1, 11, 19, 209, 461, 5071, 8759

Step-4: Factors of 96368

List of positive integer factors of 96368 that divides 96349 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96349 and 96368. The biggest common factor number is the GCF number.
So the greatest common factor 96349 and 96368 is 19.

Also check out the Least Common Multiple of 96349 and 96368