What is the Greatest Common Factor of 2838 and 2853?

Greatest common factor (GCF) of 2838 and 2853 is 3.

GCF(2838,2853) = 3

We will now calculate the prime factors of 2838 and 2853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2838 and 2853.

How to find the GCF of 2838 and 2853?

We will first find the prime factorization of 2838 and 2853. After we will calculate the factors of 2838 and 2853 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 2853

Prime factors of 2853 are 3, 317. Prime factorization of 2853 in exponential form is:

2853 = 3² × 317¹

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 2853

List of positive integer factors of 2853 that divides 2838 without a remainder.

1, 3, 9, 317, 951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2838 and 2853. The biggest common factor number is the GCF number.
So the greatest common factor 2838 and 2853 is 3.

Also check out the Least Common Multiple of 2838 and 2853