What is the Greatest Common Factor of 50820 and 50838?

Greatest common factor (GCF) of 50820 and 50838 is 6.

GCF(50820,50838) = 6

We will now calculate the prime factors of 50820 and 50838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50820 and 50838.

How to find the GCF of 50820 and 50838?

We will first find the prime factorization of 50820 and 50838. After we will calculate the factors of 50820 and 50838 and find the biggest common factor number .

Step-1: Prime Factorization of 50820

Prime factors of 50820 are 2, 3, 5, 7, 11. Prime factorization of 50820 in exponential form is:

50820 = 2² × 3¹ × 5¹ × 7¹ × 11²

Step-2: 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-3: Factors of 50820

List of positive integer factors of 50820 that divides 50820 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 121, 132, 140, 154, 165, 210, 220, 231, 242, 308, 330, 363, 385, 420, 462, 484, 605, 660, 726, 770, 847, 924, 1155, 1210, 1452, 1540, 1694, 1815, 2310, 2420, 2541, 3388, 3630, 4235, 4620, 5082, 7260, 8470, 10164, 12705, 16940, 25410

Step-4: Factors of 50838

List of positive integer factors of 50838 that divides 50820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50820 and 50838. The biggest common factor number is the GCF number.
So the greatest common factor 50820 and 50838 is 6.

Also check out the Least Common Multiple of 50820 and 50838