What is the Greatest Common Factor of 2700 and 2718?

Greatest common factor (GCF) of 2700 and 2718 is 18.

GCF(2700,2718) = 18

We will now calculate the prime factors of 2700 and 2718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2700 and 2718.

How to find the GCF of 2700 and 2718?

We will first find the prime factorization of 2700 and 2718. After we will calculate the factors of 2700 and 2718 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 2718

Prime factors of 2718 are 2, 3, 151. Prime factorization of 2718 in exponential form is:

2718 = 2¹ × 3² × 151¹

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 2718

List of positive integer factors of 2718 that divides 2700 without a remainder.

1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2700 and 2718. The biggest common factor number is the GCF number.
So the greatest common factor 2700 and 2718 is 18.

Also check out the Least Common Multiple of 2700 and 2718