What is the Greatest Common Factor of 96789 and 96807?

Greatest common factor (GCF) of 96789 and 96807 is 3.

GCF(96789,96807) = 3

We will now calculate the prime factors of 96789 and 96807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96789 and 96807.

How to find the GCF of 96789 and 96807?

We will first find the prime factorization of 96789 and 96807. After we will calculate the factors of 96789 and 96807 and find the biggest common factor number .

Step-1: Prime Factorization of 96789

Prime factors of 96789 are 3, 7, 11, 419. Prime factorization of 96789 in exponential form is:

96789 = 3¹ × 7¹ × 11¹ × 419¹

Step-2: Prime Factorization of 96807

Prime factors of 96807 are 3, 23, 61. Prime factorization of 96807 in exponential form is:

96807 = 3¹ × 23² × 61¹

Step-3: Factors of 96789

List of positive integer factors of 96789 that divides 96789 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 419, 1257, 2933, 4609, 8799, 13827, 32263

Step-4: Factors of 96807

List of positive integer factors of 96807 that divides 96789 without a remainder.

1, 3, 23, 61, 69, 183, 529, 1403, 1587, 4209, 32269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96789 and 96807. The biggest common factor number is the GCF number.
So the greatest common factor 96789 and 96807 is 3.

Also check out the Least Common Multiple of 96789 and 96807