What is the Greatest Common Factor of 2700 and 2706?

Greatest common factor (GCF) of 2700 and 2706 is 6.

GCF(2700,2706) = 6

We will now calculate the prime factors of 2700 and 2706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2700 and 2706.

How to find the GCF of 2700 and 2706?

We will first find the prime factorization of 2700 and 2706. After we will calculate the factors of 2700 and 2706 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2706

Prime factors of 2706 are 2, 3, 11, 41. Prime factorization of 2706 in exponential form is:

2706 = 2¹ × 3¹ × 11¹ × 41¹

Step-3: Factors of 2700

List of positive integer factors of 2700 that divides 2700 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

Step-4: Factors of 2706

List of positive integer factors of 2706 that divides 2700 without a remainder.

1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2700 and 2706. The biggest common factor number is the GCF number.
So the greatest common factor 2700 and 2706 is 6.

Also check out the Least Common Multiple of 2700 and 2706