What is the Greatest Common Factor of 96704 and 96723?

Greatest common factor (GCF) of 96704 and 96723 is 1.

GCF(96704,96723) = 1

We will now calculate the prime factors of 96704 and 96723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96704 and 96723.

How to find the GCF of 96704 and 96723?

We will first find the prime factorization of 96704 and 96723. After we will calculate the factors of 96704 and 96723 and find the biggest common factor number .

Step-1: Prime Factorization of 96704

Prime factors of 96704 are 2, 1511. Prime factorization of 96704 in exponential form is:

96704 = 2⁶ × 1511¹

Step-2: Prime Factorization of 96723

Prime factors of 96723 are 3, 11, 977. Prime factorization of 96723 in exponential form is:

96723 = 3² × 11¹ × 977¹

Step-3: Factors of 96704

List of positive integer factors of 96704 that divides 96704 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1511, 3022, 6044, 12088, 24176, 48352

Step-4: Factors of 96723

List of positive integer factors of 96723 that divides 96704 without a remainder.

1, 3, 9, 11, 33, 99, 977, 2931, 8793, 10747, 32241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96704 and 96723. The biggest common factor number is the GCF number.
So the greatest common factor 96704 and 96723 is 1.

Also check out the Least Common Multiple of 96704 and 96723