What is the Greatest Common Factor of 96723 and 96730?

Greatest common factor (GCF) of 96723 and 96730 is 1.

GCF(96723,96730) = 1

We will now calculate the prime factors of 96723 and 96730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96723 and 96730.

How to find the GCF of 96723 and 96730?

We will first find the prime factorization of 96723 and 96730. After we will calculate the factors of 96723 and 96730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96730

Prime factors of 96730 are 2, 5, 17, 569. Prime factorization of 96730 in exponential form is:

96730 = 2¹ × 5¹ × 17¹ × 569¹

Step-3: Factors of 96723

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

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

Step-4: Factors of 96730

List of positive integer factors of 96730 that divides 96723 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 569, 1138, 2845, 5690, 9673, 19346, 48365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96723 and 96730. The biggest common factor number is the GCF number.
So the greatest common factor 96723 and 96730 is 1.

Also check out the Least Common Multiple of 96723 and 96730