What is the Greatest Common Factor of 96767 and 96786?

Greatest common factor (GCF) of 96767 and 96786 is 19.

GCF(96767,96786) = 19

We will now calculate the prime factors of 96767 and 96786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96767 and 96786.

How to find the GCF of 96767 and 96786?

We will first find the prime factorization of 96767 and 96786. After we will calculate the factors of 96767 and 96786 and find the biggest common factor number .

Step-1: Prime Factorization of 96767

Prime factors of 96767 are 11, 19, 463. Prime factorization of 96767 in exponential form is:

96767 = 11¹ × 19¹ × 463¹

Step-2: 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-3: Factors of 96767

List of positive integer factors of 96767 that divides 96767 without a remainder.

1, 11, 19, 209, 463, 5093, 8797

Step-4: Factors of 96786

List of positive integer factors of 96786 that divides 96767 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96767 and 96786. The biggest common factor number is the GCF number.
So the greatest common factor 96767 and 96786 is 19.

Also check out the Least Common Multiple of 96767 and 96786