What is the Greatest Common Factor of 96675 and 96685?

Greatest common factor (GCF) of 96675 and 96685 is 5.

GCF(96675,96685) = 5

We will now calculate the prime factors of 96675 and 96685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96675 and 96685.

How to find the GCF of 96675 and 96685?

We will first find the prime factorization of 96675 and 96685. After we will calculate the factors of 96675 and 96685 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 96685

Prime factors of 96685 are 5, 61, 317. Prime factorization of 96685 in exponential form is:

96685 = 5¹ × 61¹ × 317¹

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 96685

List of positive integer factors of 96685 that divides 96675 without a remainder.

1, 5, 61, 305, 317, 1585, 19337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96675 and 96685. The biggest common factor number is the GCF number.
So the greatest common factor 96675 and 96685 is 5.

Also check out the Least Common Multiple of 96675 and 96685