What is the Greatest Common Factor of 50410 and 50420?

Greatest common factor (GCF) of 50410 and 50420 is 10.

GCF(50410,50420) = 10

We will now calculate the prime factors of 50410 and 50420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50410 and 50420.

How to find the GCF of 50410 and 50420?

We will first find the prime factorization of 50410 and 50420. After we will calculate the factors of 50410 and 50420 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 50420

Prime factors of 50420 are 2, 5, 2521. Prime factorization of 50420 in exponential form is:

50420 = 2² × 5¹ × 2521¹

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 50420

List of positive integer factors of 50420 that divides 50410 without a remainder.

1, 2, 4, 5, 10, 20, 2521, 5042, 10084, 12605, 25210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50410 and 50420. The biggest common factor number is the GCF number.
So the greatest common factor 50410 and 50420 is 10.

Also check out the Least Common Multiple of 50410 and 50420