What is the Greatest Common Factor of 8100 and 8112?

Greatest common factor (GCF) of 8100 and 8112 is 12.

GCF(8100,8112) = 12

We will now calculate the prime factors of 8100 and 8112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8100 and 8112.

How to find the GCF of 8100 and 8112?

We will first find the prime factorization of 8100 and 8112. After we will calculate the factors of 8100 and 8112 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 8112

Prime factors of 8112 are 2, 3, 13. Prime factorization of 8112 in exponential form is:

8112 = 2⁴ × 3¹ × 13²

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 8112

List of positive integer factors of 8112 that divides 8100 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8100 and 8112. The biggest common factor number is the GCF number.
So the greatest common factor 8100 and 8112 is 12.

Also check out the Least Common Multiple of 8100 and 8112