What is the Greatest Common Factor of 2805 and 2817?

Greatest common factor (GCF) of 2805 and 2817 is 3.

GCF(2805,2817) = 3

We will now calculate the prime factors of 2805 and 2817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2805 and 2817.

How to find the GCF of 2805 and 2817?

We will first find the prime factorization of 2805 and 2817. After we will calculate the factors of 2805 and 2817 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 2817

Prime factors of 2817 are 3, 313. Prime factorization of 2817 in exponential form is:

2817 = 3² × 313¹

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 2817

List of positive integer factors of 2817 that divides 2805 without a remainder.

1, 3, 9, 313, 939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2805 and 2817. The biggest common factor number is the GCF number.
So the greatest common factor 2805 and 2817 is 3.

Also check out the Least Common Multiple of 2805 and 2817