What is the Greatest Common Factor of 8100 and 8117?

Greatest common factor (GCF) of 8100 and 8117 is 1.

GCF(8100,8117) = 1

We will now calculate the prime factors of 8100 and 8117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8100 and 8117.

How to find the GCF of 8100 and 8117?

We will first find the prime factorization of 8100 and 8117. After we will calculate the factors of 8100 and 8117 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 8117

Prime factors of 8117 are 8117. Prime factorization of 8117 in exponential form is:

8117 = 8117¹

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 8117

List of positive integer factors of 8117 that divides 8100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8100 and 8117. The biggest common factor number is the GCF number.
So the greatest common factor 8100 and 8117 is 1.

Also check out the Least Common Multiple of 8100 and 8117