What is the Greatest Common Factor of 50838 and 50848?

Greatest common factor (GCF) of 50838 and 50848 is 2.

GCF(50838,50848) = 2

We will now calculate the prime factors of 50838 and 50848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50838 and 50848.

How to find the GCF of 50838 and 50848?

We will first find the prime factorization of 50838 and 50848. After we will calculate the factors of 50838 and 50848 and find the biggest common factor number .

Step-1: Prime Factorization of 50838

Prime factors of 50838 are 2, 3, 37, 229. Prime factorization of 50838 in exponential form is:

50838 = 2¹ × 3¹ × 37¹ × 229¹

Step-2: Prime Factorization of 50848

Prime factors of 50848 are 2, 7, 227. Prime factorization of 50848 in exponential form is:

50848 = 2⁵ × 7¹ × 227¹

Step-3: Factors of 50838

List of positive integer factors of 50838 that divides 50838 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 229, 458, 687, 1374, 8473, 16946, 25419

Step-4: Factors of 50848

List of positive integer factors of 50848 that divides 50838 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 227, 454, 908, 1589, 1816, 3178, 3632, 6356, 7264, 12712, 25424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50838 and 50848. The biggest common factor number is the GCF number.
So the greatest common factor 50838 and 50848 is 2.

Also check out the Least Common Multiple of 50838 and 50848