What is the Greatest Common Factor of 2782 and 2788?

Greatest common factor (GCF) of 2782 and 2788 is 2.

GCF(2782,2788) = 2

We will now calculate the prime factors of 2782 and 2788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2782 and 2788.

How to find the GCF of 2782 and 2788?

We will first find the prime factorization of 2782 and 2788. After we will calculate the factors of 2782 and 2788 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 2788

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

2788 = 2² × 17¹ × 41¹

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 2788

List of positive integer factors of 2788 that divides 2782 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2782 and 2788. The biggest common factor number is the GCF number.
So the greatest common factor 2782 and 2788 is 2.

Also check out the Least Common Multiple of 2782 and 2788