What is the Greatest Common Factor of 50820 and 50830?

Greatest common factor (GCF) of 50820 and 50830 is 10.

GCF(50820,50830) = 10

We will now calculate the prime factors of 50820 and 50830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50820 and 50830.

How to find the GCF of 50820 and 50830?

We will first find the prime factorization of 50820 and 50830. After we will calculate the factors of 50820 and 50830 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 50830

Prime factors of 50830 are 2, 5, 13, 17, 23. Prime factorization of 50830 in exponential form is:

50830 = 2¹ × 5¹ × 13¹ × 17¹ × 23¹

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 50830

List of positive integer factors of 50830 that divides 50820 without a remainder.

1, 2, 5, 10, 13, 17, 23, 26, 34, 46, 65, 85, 115, 130, 170, 221, 230, 299, 391, 442, 598, 782, 1105, 1495, 1955, 2210, 2990, 3910, 5083, 10166, 25415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50820 and 50830. The biggest common factor number is the GCF number.
So the greatest common factor 50820 and 50830 is 10.

Also check out the Least Common Multiple of 50820 and 50830