What is the Greatest Common Factor of 2783 and 2798?

Greatest common factor (GCF) of 2783 and 2798 is 1.

GCF(2783,2798) = 1

We will now calculate the prime factors of 2783 and 2798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2783 and 2798.

How to find the GCF of 2783 and 2798?

We will first find the prime factorization of 2783 and 2798. After we will calculate the factors of 2783 and 2798 and find the biggest common factor number .

Step-1: Prime Factorization of 2783

Prime factors of 2783 are 11, 23. Prime factorization of 2783 in exponential form is:

2783 = 11² × 23¹

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 2783

List of positive integer factors of 2783 that divides 2783 without a remainder.

1, 11, 23, 121, 253

Step-4: Factors of 2798

List of positive integer factors of 2798 that divides 2783 without a remainder.

1, 2, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2783 and 2798. The biggest common factor number is the GCF number.
So the greatest common factor 2783 and 2798 is 1.

Also check out the Least Common Multiple of 2783 and 2798