What is the Greatest Common Factor of 50805 and 50820?

Greatest common factor (GCF) of 50805 and 50820 is 15.

GCF(50805,50820) = 15

We will now calculate the prime factors of 50805 and 50820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50805 and 50820.

How to find the GCF of 50805 and 50820?

We will first find the prime factorization of 50805 and 50820. After we will calculate the factors of 50805 and 50820 and find the biggest common factor number .

Step-1: Prime Factorization of 50805

Prime factors of 50805 are 3, 5, 1129. Prime factorization of 50805 in exponential form is:

50805 = 3² × 5¹ × 1129¹

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 50805

List of positive integer factors of 50805 that divides 50805 without a remainder.

1, 3, 5, 9, 15, 45, 1129, 3387, 5645, 10161, 16935

Step-4: Factors of 50820

List of positive integer factors of 50820 that divides 50805 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 50805 and 50820. The biggest common factor number is the GCF number.
So the greatest common factor 50805 and 50820 is 15.

Also check out the Least Common Multiple of 50805 and 50820