What is the Greatest Common Factor of 96789 and 96803?

Greatest common factor (GCF) of 96789 and 96803 is 7.

GCF(96789,96803) = 7

We will now calculate the prime factors of 96789 and 96803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96789 and 96803.

How to find the GCF of 96789 and 96803?

We will first find the prime factorization of 96789 and 96803. After we will calculate the factors of 96789 and 96803 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 96803

Prime factors of 96803 are 7, 13829. Prime factorization of 96803 in exponential form is:

96803 = 7¹ × 13829¹

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 96803

List of positive integer factors of 96803 that divides 96789 without a remainder.

1, 7, 13829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96789 and 96803. The biggest common factor number is the GCF number.
So the greatest common factor 96789 and 96803 is 7.

Also check out the Least Common Multiple of 96789 and 96803