What is the Greatest Common Factor of 96100 and 96116?

Greatest common factor (GCF) of 96100 and 96116 is 4.

GCF(96100,96116) = 4

We will now calculate the prime factors of 96100 and 96116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96100 and 96116.

How to find the GCF of 96100 and 96116?

We will first find the prime factorization of 96100 and 96116. After we will calculate the factors of 96100 and 96116 and find the biggest common factor number .

Step-1: Prime Factorization of 96100

Prime factors of 96100 are 2, 5, 31. Prime factorization of 96100 in exponential form is:

96100 = 2² × 5² × 31²

Step-2: Prime Factorization of 96116

Prime factors of 96116 are 2, 24029. Prime factorization of 96116 in exponential form is:

96116 = 2² × 24029¹

Step-3: Factors of 96100

List of positive integer factors of 96100 that divides 96100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 961, 1550, 1922, 3100, 3844, 4805, 9610, 19220, 24025, 48050

Step-4: Factors of 96116

List of positive integer factors of 96116 that divides 96100 without a remainder.

1, 2, 4, 24029, 48058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96100 and 96116. The biggest common factor number is the GCF number.
So the greatest common factor 96100 and 96116 is 4.

Also check out the Least Common Multiple of 96100 and 96116