What is the Greatest Common Factor of 2782 and 2790?

Greatest common factor (GCF) of 2782 and 2790 is 2.

GCF(2782,2790) = 2

We will now calculate the prime factors of 2782 and 2790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2782 and 2790.

How to find the GCF of 2782 and 2790?

We will first find the prime factorization of 2782 and 2790. After we will calculate the factors of 2782 and 2790 and find the biggest common factor number .

Step-1: Prime Factorization of 2782

Prime factors of 2782 are 2, 13, 107. Prime factorization of 2782 in exponential form is:

2782 = 2¹ × 13¹ × 107¹

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 2782

List of positive integer factors of 2782 that divides 2782 without a remainder.

1, 2, 13, 26, 107, 214, 1391

Step-4: Factors of 2790

List of positive integer factors of 2790 that divides 2782 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 2782 and 2790. The biggest common factor number is the GCF number.
So the greatest common factor 2782 and 2790 is 2.

Also check out the Least Common Multiple of 2782 and 2790