What is the Greatest Common Factor of 50050 and 50061?

Greatest common factor (GCF) of 50050 and 50061 is 11.

GCF(50050,50061) = 11

We will now calculate the prime factors of 50050 and 50061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50050 and 50061.

How to find the GCF of 50050 and 50061?

We will first find the prime factorization of 50050 and 50061. After we will calculate the factors of 50050 and 50061 and find the biggest common factor number .

Step-1: Prime Factorization of 50050

Prime factors of 50050 are 2, 5, 7, 11, 13. Prime factorization of 50050 in exponential form is:

50050 = 2¹ × 5² × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 50061

Prime factors of 50061 are 3, 11, 37, 41. Prime factorization of 50061 in exponential form is:

50061 = 3¹ × 11¹ × 37¹ × 41¹

Step-3: Factors of 50050

List of positive integer factors of 50050 that divides 50050 without a remainder.

1, 2, 5, 7, 10, 11, 13, 14, 22, 25, 26, 35, 50, 55, 65, 70, 77, 91, 110, 130, 143, 154, 175, 182, 275, 286, 325, 350, 385, 455, 550, 650, 715, 770, 910, 1001, 1430, 1925, 2002, 2275, 3575, 3850, 4550, 5005, 7150, 10010, 25025

Step-4: Factors of 50061

List of positive integer factors of 50061 that divides 50050 without a remainder.

1, 3, 11, 33, 37, 41, 111, 123, 407, 451, 1221, 1353, 1517, 4551, 16687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50050 and 50061. The biggest common factor number is the GCF number.
So the greatest common factor 50050 and 50061 is 11.

Also check out the Least Common Multiple of 50050 and 50061