What is the Greatest Common Factor of 50800 and 50820?

Greatest common factor (GCF) of 50800 and 50820 is 20.

GCF(50800,50820) = 20

We will now calculate the prime factors of 50800 and 50820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50800 and 50820.

How to find the GCF of 50800 and 50820?

We will first find the prime factorization of 50800 and 50820. After we will calculate the factors of 50800 and 50820 and find the biggest common factor number .

Step-1: Prime Factorization of 50800

Prime factors of 50800 are 2, 5, 127. Prime factorization of 50800 in exponential form is:

50800 = 2⁴ × 5² × 127¹

Step-2: 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-3: Factors of 50800

List of positive integer factors of 50800 that divides 50800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 127, 200, 254, 400, 508, 635, 1016, 1270, 2032, 2540, 3175, 5080, 6350, 10160, 12700, 25400

Step-4: Factors of 50820

List of positive integer factors of 50820 that divides 50800 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50800 and 50820. The biggest common factor number is the GCF number.
So the greatest common factor 50800 and 50820 is 20.

Also check out the Least Common Multiple of 50800 and 50820