What is the Greatest Common Factor of 2790 and 2808?

Greatest common factor (GCF) of 2790 and 2808 is 18.

GCF(2790,2808) = 18

We will now calculate the prime factors of 2790 and 2808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2790 and 2808.

How to find the GCF of 2790 and 2808?

We will first find the prime factorization of 2790 and 2808. After we will calculate the factors of 2790 and 2808 and find the biggest common factor number .

Step-1: Prime Factorization of 2790

Prime factors of 2790 are 2, 3, 5, 31. Prime factorization of 2790 in exponential form is:

2790 = 2¹ × 3² × 5¹ × 31¹

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 2790

List of positive integer factors of 2790 that divides 2790 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395

Step-4: Factors of 2808

List of positive integer factors of 2808 that divides 2790 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 2790 and 2808. The biggest common factor number is the GCF number.
So the greatest common factor 2790 and 2808 is 18.

Also check out the Least Common Multiple of 2790 and 2808