What is the Greatest Common Factor of 50350 and 50369?

Greatest common factor (GCF) of 50350 and 50369 is 19.

GCF(50350,50369) = 19

We will now calculate the prime factors of 50350 and 50369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50350 and 50369.

How to find the GCF of 50350 and 50369?

We will first find the prime factorization of 50350 and 50369. After we will calculate the factors of 50350 and 50369 and find the biggest common factor number .

Step-1: Prime Factorization of 50350

Prime factors of 50350 are 2, 5, 19, 53. Prime factorization of 50350 in exponential form is:

50350 = 2¹ × 5² × 19¹ × 53¹

Step-2: Prime Factorization of 50369

Prime factors of 50369 are 11, 19, 241. Prime factorization of 50369 in exponential form is:

50369 = 11¹ × 19¹ × 241¹

Step-3: Factors of 50350

List of positive integer factors of 50350 that divides 50350 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 53, 95, 106, 190, 265, 475, 530, 950, 1007, 1325, 2014, 2650, 5035, 10070, 25175

Step-4: Factors of 50369

List of positive integer factors of 50369 that divides 50350 without a remainder.

1, 11, 19, 209, 241, 2651, 4579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50350 and 50369. The biggest common factor number is the GCF number.
So the greatest common factor 50350 and 50369 is 19.

Also check out the Least Common Multiple of 50350 and 50369