What is the Greatest Common Factor of 2682 and 2700?

Greatest common factor (GCF) of 2682 and 2700 is 18.

GCF(2682,2700) = 18

We will now calculate the prime factors of 2682 and 2700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2682 and 2700.

How to find the GCF of 2682 and 2700?

We will first find the prime factorization of 2682 and 2700. After we will calculate the factors of 2682 and 2700 and find the biggest common factor number .

Step-1: Prime Factorization of 2682

Prime factors of 2682 are 2, 3, 149. Prime factorization of 2682 in exponential form is:

2682 = 2¹ × 3² × 149¹

Step-2: Prime Factorization of 2700

Prime factors of 2700 are 2, 3, 5. Prime factorization of 2700 in exponential form is:

2700 = 2² × 3³ × 5²

Step-3: Factors of 2682

List of positive integer factors of 2682 that divides 2682 without a remainder.

1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341

Step-4: Factors of 2700

List of positive integer factors of 2700 that divides 2682 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2682 and 2700. The biggest common factor number is the GCF number.
So the greatest common factor 2682 and 2700 is 18.

Also check out the Least Common Multiple of 2682 and 2700