What is the Greatest Common Factor of 50838 and 50850?

Greatest common factor (GCF) of 50838 and 50850 is 6.

GCF(50838,50850) = 6

We will now calculate the prime factors of 50838 and 50850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50838 and 50850.

How to find the GCF of 50838 and 50850?

We will first find the prime factorization of 50838 and 50850. After we will calculate the factors of 50838 and 50850 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 50850

Prime factors of 50850 are 2, 3, 5, 113. Prime factorization of 50850 in exponential form is:

50850 = 2¹ × 3² × 5² × 113¹

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 50850

List of positive integer factors of 50850 that divides 50838 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 113, 150, 225, 226, 339, 450, 565, 678, 1017, 1130, 1695, 2034, 2825, 3390, 5085, 5650, 8475, 10170, 16950, 25425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50838 and 50850. The biggest common factor number is the GCF number.
So the greatest common factor 50838 and 50850 is 6.

Also check out the Least Common Multiple of 50838 and 50850