What is the Greatest Common Factor of 50438 and 50450?

Greatest common factor (GCF) of 50438 and 50450 is 2.

GCF(50438,50450) = 2

We will now calculate the prime factors of 50438 and 50450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50438 and 50450.

How to find the GCF of 50438 and 50450?

We will first find the prime factorization of 50438 and 50450. After we will calculate the factors of 50438 and 50450 and find the biggest common factor number .

Step-1: Prime Factorization of 50438

Prime factors of 50438 are 2, 25219. Prime factorization of 50438 in exponential form is:

50438 = 2¹ × 25219¹

Step-2: 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-3: Factors of 50438

List of positive integer factors of 50438 that divides 50438 without a remainder.

1, 2, 25219

Step-4: Factors of 50450

List of positive integer factors of 50450 that divides 50438 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50438 and 50450. The biggest common factor number is the GCF number.
So the greatest common factor 50438 and 50450 is 2.

Also check out the Least Common Multiple of 50438 and 50450