What is the Greatest Common Factor of 50450 and 50454?

Greatest common factor (GCF) of 50450 and 50454 is 2.

GCF(50450,50454) = 2

We will now calculate the prime factors of 50450 and 50454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50450 and 50454.

How to find the GCF of 50450 and 50454?

We will first find the prime factorization of 50450 and 50454. After we will calculate the factors of 50450 and 50454 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 50454

Prime factors of 50454 are 2, 3, 2803. Prime factorization of 50454 in exponential form is:

50454 = 2¹ × 3² × 2803¹

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 50454

List of positive integer factors of 50454 that divides 50450 without a remainder.

1, 2, 3, 6, 9, 18, 2803, 5606, 8409, 16818, 25227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50450 and 50454. The biggest common factor number is the GCF number.
So the greatest common factor 50450 and 50454 is 2.

Also check out the Least Common Multiple of 50450 and 50454