What is the Greatest Common Factor of 50450 and 50462?

Greatest common factor (GCF) of 50450 and 50462 is 2.

GCF(50450,50462) = 2

We will now calculate the prime factors of 50450 and 50462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50450 and 50462.

How to find the GCF of 50450 and 50462?

We will first find the prime factorization of 50450 and 50462. After we will calculate the factors of 50450 and 50462 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 50462

Prime factors of 50462 are 2, 23, 1097. Prime factorization of 50462 in exponential form is:

50462 = 2¹ × 23¹ × 1097¹

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 50462

List of positive integer factors of 50462 that divides 50450 without a remainder.

1, 2, 23, 46, 1097, 2194, 25231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50450 and 50462. The biggest common factor number is the GCF number.
So the greatest common factor 50450 and 50462 is 2.

Also check out the Least Common Multiple of 50450 and 50462