What is the Greatest Common Factor of 2805 and 2811?

Greatest common factor (GCF) of 2805 and 2811 is 3.

GCF(2805,2811) = 3

We will now calculate the prime factors of 2805 and 2811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2805 and 2811.

How to find the GCF of 2805 and 2811?

We will first find the prime factorization of 2805 and 2811. After we will calculate the factors of 2805 and 2811 and find the biggest common factor number .

Step-1: Prime Factorization of 2805

Prime factors of 2805 are 3, 5, 11, 17. Prime factorization of 2805 in exponential form is:

2805 = 3¹ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 2811

Prime factors of 2811 are 3, 937. Prime factorization of 2811 in exponential form is:

2811 = 3¹ × 937¹

Step-3: Factors of 2805

List of positive integer factors of 2805 that divides 2805 without a remainder.

1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935

Step-4: Factors of 2811

List of positive integer factors of 2811 that divides 2805 without a remainder.

1, 3, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2805 and 2811. The biggest common factor number is the GCF number.
So the greatest common factor 2805 and 2811 is 3.

Also check out the Least Common Multiple of 2805 and 2811