What is the Greatest Common Factor of 96665 and 96680?

Greatest common factor (GCF) of 96665 and 96680 is 5.

GCF(96665,96680) = 5

We will now calculate the prime factors of 96665 and 96680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96665 and 96680.

How to find the GCF of 96665 and 96680?

We will first find the prime factorization of 96665 and 96680. After we will calculate the factors of 96665 and 96680 and find the biggest common factor number .

Step-1: Prime Factorization of 96665

Prime factors of 96665 are 5, 19333. Prime factorization of 96665 in exponential form is:

96665 = 5¹ × 19333¹

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 96665

List of positive integer factors of 96665 that divides 96665 without a remainder.

1, 5, 19333

Step-4: Factors of 96680

List of positive integer factors of 96680 that divides 96665 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 96665 and 96680. The biggest common factor number is the GCF number.
So the greatest common factor 96665 and 96680 is 5.

Also check out the Least Common Multiple of 96665 and 96680