What is the Greatest Common Factor of 50834 and 50848?

Greatest common factor (GCF) of 50834 and 50848 is 14.

GCF(50834,50848) = 14

We will now calculate the prime factors of 50834 and 50848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50834 and 50848.

How to find the GCF of 50834 and 50848?

We will first find the prime factorization of 50834 and 50848. After we will calculate the factors of 50834 and 50848 and find the biggest common factor number .

Step-1: Prime Factorization of 50834

Prime factors of 50834 are 2, 7, 3631. Prime factorization of 50834 in exponential form is:

50834 = 2¹ × 7¹ × 3631¹

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 50834

List of positive integer factors of 50834 that divides 50834 without a remainder.

1, 2, 7, 14, 3631, 7262, 25417

Step-4: Factors of 50848

List of positive integer factors of 50848 that divides 50834 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 50834 and 50848. The biggest common factor number is the GCF number.
So the greatest common factor 50834 and 50848 is 14.

Also check out the Least Common Multiple of 50834 and 50848