What is the Greatest Common Factor of 50410 and 50418?

Greatest common factor (GCF) of 50410 and 50418 is 2.

GCF(50410,50418) = 2

We will now calculate the prime factors of 50410 and 50418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50410 and 50418.

How to find the GCF of 50410 and 50418?

We will first find the prime factorization of 50410 and 50418. After we will calculate the factors of 50410 and 50418 and find the biggest common factor number .

Step-1: Prime Factorization of 50410

Prime factors of 50410 are 2, 5, 71. Prime factorization of 50410 in exponential form is:

50410 = 2¹ × 5¹ × 71²

Step-2: Prime Factorization of 50418

Prime factors of 50418 are 2, 3, 2801. Prime factorization of 50418 in exponential form is:

50418 = 2¹ × 3² × 2801¹

Step-3: Factors of 50410

List of positive integer factors of 50410 that divides 50410 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710, 5041, 10082, 25205

Step-4: Factors of 50418

List of positive integer factors of 50418 that divides 50410 without a remainder.

1, 2, 3, 6, 9, 18, 2801, 5602, 8403, 16806, 25209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50410 and 50418. The biggest common factor number is the GCF number.
So the greatest common factor 50410 and 50418 is 2.

Also check out the Least Common Multiple of 50410 and 50418