What is the Greatest Common Factor of 2772 and 2790?

Greatest common factor (GCF) of 2772 and 2790 is 18.

GCF(2772,2790) = 18

We will now calculate the prime factors of 2772 and 2790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2772 and 2790.

How to find the GCF of 2772 and 2790?

We will first find the prime factorization of 2772 and 2790. After we will calculate the factors of 2772 and 2790 and find the biggest common factor number .

Step-1: Prime Factorization of 2772

Prime factors of 2772 are 2, 3, 7, 11. Prime factorization of 2772 in exponential form is:

2772 = 2² × 3² × 7¹ × 11¹

Step-2: 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-3: Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386

Step-4: Factors of 2790

List of positive integer factors of 2790 that divides 2772 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2772 and 2790. The biggest common factor number is the GCF number.
So the greatest common factor 2772 and 2790 is 18.

Also check out the Least Common Multiple of 2772 and 2790