What is the Greatest Common Factor of 2778 and 2798?

Greatest common factor (GCF) of 2778 and 2798 is 2.

GCF(2778,2798) = 2

We will now calculate the prime factors of 2778 and 2798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2778 and 2798.

How to find the GCF of 2778 and 2798?

We will first find the prime factorization of 2778 and 2798. After we will calculate the factors of 2778 and 2798 and find the biggest common factor number .

Step-1: Prime Factorization of 2778

Prime factors of 2778 are 2, 3, 463. Prime factorization of 2778 in exponential form is:

2778 = 2¹ × 3¹ × 463¹

Step-2: Prime Factorization of 2798

Prime factors of 2798 are 2, 1399. Prime factorization of 2798 in exponential form is:

2798 = 2¹ × 1399¹

Step-3: Factors of 2778

List of positive integer factors of 2778 that divides 2778 without a remainder.

1, 2, 3, 6, 463, 926, 1389

Step-4: Factors of 2798

List of positive integer factors of 2798 that divides 2778 without a remainder.

1, 2, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2778 and 2798. The biggest common factor number is the GCF number.
So the greatest common factor 2778 and 2798 is 2.

Also check out the Least Common Multiple of 2778 and 2798