What is the Greatest Common Factor of 96786 and 96795?

Greatest common factor (GCF) of 96786 and 96795 is 9.

GCF(96786,96795) = 9

We will now calculate the prime factors of 96786 and 96795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96786 and 96795.

How to find the GCF of 96786 and 96795?

We will first find the prime factorization of 96786 and 96795. After we will calculate the factors of 96786 and 96795 and find the biggest common factor number .

Step-1: Prime Factorization of 96786

Prime factors of 96786 are 2, 3, 19, 283. Prime factorization of 96786 in exponential form is:

96786 = 2¹ × 3² × 19¹ × 283¹

Step-2: Prime Factorization of 96795

Prime factors of 96795 are 3, 5, 239. Prime factorization of 96795 in exponential form is:

96795 = 3⁴ × 5¹ × 239¹

Step-3: Factors of 96786

List of positive integer factors of 96786 that divides 96786 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 283, 342, 566, 849, 1698, 2547, 5094, 5377, 10754, 16131, 32262, 48393

Step-4: Factors of 96795

List of positive integer factors of 96795 that divides 96786 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 239, 405, 717, 1195, 2151, 3585, 6453, 10755, 19359, 32265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96786 and 96795. The biggest common factor number is the GCF number.
So the greatest common factor 96786 and 96795 is 9.

Also check out the Least Common Multiple of 96786 and 96795