What is the Greatest Common Factor of 96693 and 96711?

Greatest common factor (GCF) of 96693 and 96711 is 3.

GCF(96693,96711) = 3

We will now calculate the prime factors of 96693 and 96711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96693 and 96711.

How to find the GCF of 96693 and 96711?

We will first find the prime factorization of 96693 and 96711. After we will calculate the factors of 96693 and 96711 and find the biggest common factor number .

Step-1: Prime Factorization of 96693

Prime factors of 96693 are 3, 167, 193. Prime factorization of 96693 in exponential form is:

96693 = 3¹ × 167¹ × 193¹

Step-2: Prime Factorization of 96711

Prime factors of 96711 are 3, 32237. Prime factorization of 96711 in exponential form is:

96711 = 3¹ × 32237¹

Step-3: Factors of 96693

List of positive integer factors of 96693 that divides 96693 without a remainder.

1, 3, 167, 193, 501, 579, 32231

Step-4: Factors of 96711

List of positive integer factors of 96711 that divides 96693 without a remainder.

1, 3, 32237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96693 and 96711. The biggest common factor number is the GCF number.
So the greatest common factor 96693 and 96711 is 3.

Also check out the Least Common Multiple of 96693 and 96711