What is the Greatest Common Factor of 96723 and 96738?

Greatest common factor (GCF) of 96723 and 96738 is 3.

GCF(96723,96738) = 3

We will now calculate the prime factors of 96723 and 96738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96723 and 96738.

How to find the GCF of 96723 and 96738?

We will first find the prime factorization of 96723 and 96738. After we will calculate the factors of 96723 and 96738 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 96738

Prime factors of 96738 are 2, 3, 23, 701. Prime factorization of 96738 in exponential form is:

96738 = 2¹ × 3¹ × 23¹ × 701¹

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 96738

List of positive integer factors of 96738 that divides 96723 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 701, 1402, 2103, 4206, 16123, 32246, 48369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96723 and 96738. The biggest common factor number is the GCF number.
So the greatest common factor 96723 and 96738 is 3.

Also check out the Least Common Multiple of 96723 and 96738