What is the Greatest Common Factor of 50450 and 50457?

Greatest common factor (GCF) of 50450 and 50457 is 1.

GCF(50450,50457) = 1

We will now calculate the prime factors of 50450 and 50457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50450 and 50457.

How to find the GCF of 50450 and 50457?

We will first find the prime factorization of 50450 and 50457. After we will calculate the factors of 50450 and 50457 and find the biggest common factor number .

Step-1: Prime Factorization of 50450

Prime factors of 50450 are 2, 5, 1009. Prime factorization of 50450 in exponential form is:

50450 = 2¹ × 5² × 1009¹

Step-2: Prime Factorization of 50457

Prime factors of 50457 are 3, 11, 139. Prime factorization of 50457 in exponential form is:

50457 = 3¹ × 11² × 139¹

Step-3: Factors of 50450

List of positive integer factors of 50450 that divides 50450 without a remainder.

1, 2, 5, 10, 25, 50, 1009, 2018, 5045, 10090, 25225

Step-4: Factors of 50457

List of positive integer factors of 50457 that divides 50450 without a remainder.

1, 3, 11, 33, 121, 139, 363, 417, 1529, 4587, 16819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50450 and 50457. The biggest common factor number is the GCF number.
So the greatest common factor 50450 and 50457 is 1.

Also check out the Least Common Multiple of 50450 and 50457