What is the Greatest Common Factor of 2838 and 2854?

Greatest common factor (GCF) of 2838 and 2854 is 2.

GCF(2838,2854) = 2

We will now calculate the prime factors of 2838 and 2854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2838 and 2854.

How to find the GCF of 2838 and 2854?

We will first find the prime factorization of 2838 and 2854. After we will calculate the factors of 2838 and 2854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2854

Prime factors of 2854 are 2, 1427. Prime factorization of 2854 in exponential form is:

2854 = 2¹ × 1427¹

Step-3: Factors of 2838

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

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

Step-4: Factors of 2854

List of positive integer factors of 2854 that divides 2838 without a remainder.

1, 2, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2838 and 2854. The biggest common factor number is the GCF number.
So the greatest common factor 2838 and 2854 is 2.

Also check out the Least Common Multiple of 2838 and 2854