What is the Greatest Common Factor of 1838 and 1856?

Greatest common factor (GCF) of 1838 and 1856 is 2.

GCF(1838,1856) = 2

We will now calculate the prime factors of 1838 and 1856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1838 and 1856.

How to find the GCF of 1838 and 1856?

We will first find the prime factorization of 1838 and 1856. After we will calculate the factors of 1838 and 1856 and find the biggest common factor number .

Step-1: Prime Factorization of 1838

Prime factors of 1838 are 2, 919. Prime factorization of 1838 in exponential form is:

1838 = 2¹ × 919¹

Step-2: Prime Factorization of 1856

Prime factors of 1856 are 2, 29. Prime factorization of 1856 in exponential form is:

1856 = 2⁶ × 29¹

Step-3: Factors of 1838

List of positive integer factors of 1838 that divides 1838 without a remainder.

1, 2, 919

Step-4: Factors of 1856

List of positive integer factors of 1856 that divides 1838 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1838 and 1856. The biggest common factor number is the GCF number.
So the greatest common factor 1838 and 1856 is 2.

Also check out the Least Common Multiple of 1838 and 1856