What is the Greatest Common Factor of 2827 and 2838?

Greatest common factor (GCF) of 2827 and 2838 is 11.

GCF(2827,2838) = 11

We will now calculate the prime factors of 2827 and 2838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2827 and 2838.

How to find the GCF of 2827 and 2838?

We will first find the prime factorization of 2827 and 2838. After we will calculate the factors of 2827 and 2838 and find the biggest common factor number .

Step-1: Prime Factorization of 2827

Prime factors of 2827 are 11, 257. Prime factorization of 2827 in exponential form is:

2827 = 11¹ × 257¹

Step-2: Prime Factorization of 2838

Prime factors of 2838 are 2, 3, 11, 43. Prime factorization of 2838 in exponential form is:

2838 = 2¹ × 3¹ × 11¹ × 43¹

Step-3: Factors of 2827

List of positive integer factors of 2827 that divides 2827 without a remainder.

1, 11, 257

Step-4: Factors of 2838

List of positive integer factors of 2838 that divides 2827 without a remainder.

1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2827 and 2838. The biggest common factor number is the GCF number.
So the greatest common factor 2827 and 2838 is 11.

Also check out the Least Common Multiple of 2827 and 2838