What is the Greatest Common Factor of 96680 and 96700?

Greatest common factor (GCF) of 96680 and 96700 is 20.

GCF(96680,96700) = 20

We will now calculate the prime factors of 96680 and 96700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96680 and 96700.

How to find the GCF of 96680 and 96700?

We will first find the prime factorization of 96680 and 96700. After we will calculate the factors of 96680 and 96700 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96700

Prime factors of 96700 are 2, 5, 967. Prime factorization of 96700 in exponential form is:

96700 = 2² × 5² × 967¹

Step-3: Factors of 96680

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

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

Step-4: Factors of 96700

List of positive integer factors of 96700 that divides 96680 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 967, 1934, 3868, 4835, 9670, 19340, 24175, 48350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96680 and 96700. The biggest common factor number is the GCF number.
So the greatest common factor 96680 and 96700 is 20.

Also check out the Least Common Multiple of 96680 and 96700