What is the Greatest Common Factor of 2788 and 2805?

Greatest common factor (GCF) of 2788 and 2805 is 17.

GCF(2788,2805) = 17

We will now calculate the prime factors of 2788 and 2805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2788 and 2805.

How to find the GCF of 2788 and 2805?

We will first find the prime factorization of 2788 and 2805. After we will calculate the factors of 2788 and 2805 and find the biggest common factor number .

Step-1: Prime Factorization of 2788

Prime factors of 2788 are 2, 17, 41. Prime factorization of 2788 in exponential form is:

2788 = 2² × 17¹ × 41¹

Step-2: 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-3: Factors of 2788

List of positive integer factors of 2788 that divides 2788 without a remainder.

1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394

Step-4: Factors of 2805

List of positive integer factors of 2805 that divides 2788 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2788 and 2805. The biggest common factor number is the GCF number.
So the greatest common factor 2788 and 2805 is 17.

Also check out the Least Common Multiple of 2788 and 2805