What is the Greatest Common Factor of 8100 and 8107?

Greatest common factor (GCF) of 8100 and 8107 is 1.

GCF(8100,8107) = 1

We will now calculate the prime factors of 8100 and 8107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8100 and 8107.

How to find the GCF of 8100 and 8107?

We will first find the prime factorization of 8100 and 8107. After we will calculate the factors of 8100 and 8107 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 8107

Prime factors of 8107 are 11, 67. Prime factorization of 8107 in exponential form is:

8107 = 11² × 67¹

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 8107

List of positive integer factors of 8107 that divides 8100 without a remainder.

1, 11, 67, 121, 737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8100 and 8107. The biggest common factor number is the GCF number.
So the greatest common factor 8100 and 8107 is 1.

Also check out the Least Common Multiple of 8100 and 8107