What is the Greatest Common Factor of 2795 and 2808?

Greatest common factor (GCF) of 2795 and 2808 is 13.

GCF(2795,2808) = 13

We will now calculate the prime factors of 2795 and 2808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2795 and 2808.

How to find the GCF of 2795 and 2808?

We will first find the prime factorization of 2795 and 2808. After we will calculate the factors of 2795 and 2808 and find the biggest common factor number .

Step-1: Prime Factorization of 2795

Prime factors of 2795 are 5, 13, 43. Prime factorization of 2795 in exponential form is:

2795 = 5¹ × 13¹ × 43¹

Step-2: Prime Factorization of 2808

Prime factors of 2808 are 2, 3, 13. Prime factorization of 2808 in exponential form is:

2808 = 2³ × 3³ × 13¹

Step-3: Factors of 2795

List of positive integer factors of 2795 that divides 2795 without a remainder.

1, 5, 13, 43, 65, 215, 559

Step-4: Factors of 2808

List of positive integer factors of 2808 that divides 2795 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2795 and 2808. The biggest common factor number is the GCF number.
So the greatest common factor 2795 and 2808 is 13.

Also check out the Least Common Multiple of 2795 and 2808