What is the Greatest Common Factor of 2700 and 2705?

Greatest common factor (GCF) of 2700 and 2705 is 5.

GCF(2700,2705) = 5

We will now calculate the prime factors of 2700 and 2705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2700 and 2705.

How to find the GCF of 2700 and 2705?

We will first find the prime factorization of 2700 and 2705. After we will calculate the factors of 2700 and 2705 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 2705

Prime factors of 2705 are 5, 541. Prime factorization of 2705 in exponential form is:

2705 = 5¹ × 541¹

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 2705

List of positive integer factors of 2705 that divides 2700 without a remainder.

1, 5, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2700 and 2705. The biggest common factor number is the GCF number.
So the greatest common factor 2700 and 2705 is 5.

Also check out the Least Common Multiple of 2700 and 2705