What is the Greatest Common Factor of 2805 and 2816?

Greatest common factor (GCF) of 2805 and 2816 is 11.

GCF(2805,2816) = 11

We will now calculate the prime factors of 2805 and 2816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2805 and 2816.

How to find the GCF of 2805 and 2816?

We will first find the prime factorization of 2805 and 2816. After we will calculate the factors of 2805 and 2816 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 2816

Prime factors of 2816 are 2, 11. Prime factorization of 2816 in exponential form is:

2816 = 2⁸ × 11¹

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 2816

List of positive integer factors of 2816 that divides 2805 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2805 and 2816. The biggest common factor number is the GCF number.
So the greatest common factor 2805 and 2816 is 11.

Also check out the Least Common Multiple of 2805 and 2816