What is the Greatest Common Factor of 8100 and 8116?

Greatest common factor (GCF) of 8100 and 8116 is 4.

GCF(8100,8116) = 4

We will now calculate the prime factors of 8100 and 8116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8100 and 8116.

How to find the GCF of 8100 and 8116?

We will first find the prime factorization of 8100 and 8116. After we will calculate the factors of 8100 and 8116 and find the biggest common factor number .

Step-1: Prime Factorization of 8100

Prime factors of 8100 are 2, 3, 5. Prime factorization of 8100 in exponential form is:

8100 = 2² × 3⁴ × 5²

Step-2: Prime Factorization of 8116

Prime factors of 8116 are 2, 2029. Prime factorization of 8116 in exponential form is:

8116 = 2² × 2029¹

Step-3: Factors of 8100

List of positive integer factors of 8100 that divides 8100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050

Step-4: Factors of 8116

List of positive integer factors of 8116 that divides 8100 without a remainder.

1, 2, 4, 2029, 4058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8100 and 8116. The biggest common factor number is the GCF number.
So the greatest common factor 8100 and 8116 is 4.

Also check out the Least Common Multiple of 8100 and 8116