What is the Greatest Common Factor of 96660 and 96680?

Greatest common factor (GCF) of 96660 and 96680 is 20.

GCF(96660,96680) = 20

We will now calculate the prime factors of 96660 and 96680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96660 and 96680.

How to find the GCF of 96660 and 96680?

We will first find the prime factorization of 96660 and 96680. After we will calculate the factors of 96660 and 96680 and find the biggest common factor number .

Step-1: Prime Factorization of 96660

Prime factors of 96660 are 2, 3, 5, 179. Prime factorization of 96660 in exponential form is:

96660 = 2² × 3³ × 5¹ × 179¹

Step-2: Prime Factorization of 96680

Prime factors of 96680 are 2, 5, 2417. Prime factorization of 96680 in exponential form is:

96680 = 2³ × 5¹ × 2417¹

Step-3: Factors of 96660

List of positive integer factors of 96660 that divides 96660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 179, 180, 270, 358, 537, 540, 716, 895, 1074, 1611, 1790, 2148, 2685, 3222, 3580, 4833, 5370, 6444, 8055, 9666, 10740, 16110, 19332, 24165, 32220, 48330

Step-4: Factors of 96680

List of positive integer factors of 96680 that divides 96660 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2417, 4834, 9668, 12085, 19336, 24170, 48340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96660 and 96680. The biggest common factor number is the GCF number.
So the greatest common factor 96660 and 96680 is 20.

Also check out the Least Common Multiple of 96660 and 96680