What is the Greatest Common Factor of 96675 and 96693?

Greatest common factor (GCF) of 96675 and 96693 is 3.

GCF(96675,96693) = 3

We will now calculate the prime factors of 96675 and 96693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96675 and 96693.

How to find the GCF of 96675 and 96693?

We will first find the prime factorization of 96675 and 96693. After we will calculate the factors of 96675 and 96693 and find the biggest common factor number .

Step-1: Prime Factorization of 96675

Prime factors of 96675 are 3, 5, 1289. Prime factorization of 96675 in exponential form is:

96675 = 3¹ × 5² × 1289¹

Step-2: 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-3: Factors of 96675

List of positive integer factors of 96675 that divides 96675 without a remainder.

1, 3, 5, 15, 25, 75, 1289, 3867, 6445, 19335, 32225

Step-4: Factors of 96693

List of positive integer factors of 96693 that divides 96675 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96675 and 96693. The biggest common factor number is the GCF number.
So the greatest common factor 96675 and 96693 is 3.

Also check out the Least Common Multiple of 96675 and 96693