What is the Greatest Common Factor of 50405 and 50410?

Greatest common factor (GCF) of 50405 and 50410 is 5.

GCF(50405,50410) = 5

We will now calculate the prime factors of 50405 and 50410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50405 and 50410.

How to find the GCF of 50405 and 50410?

We will first find the prime factorization of 50405 and 50410. After we will calculate the factors of 50405 and 50410 and find the biggest common factor number .

Step-1: Prime Factorization of 50405

Prime factors of 50405 are 5, 17, 593. Prime factorization of 50405 in exponential form is:

50405 = 5¹ × 17¹ × 593¹

Step-2: 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-3: Factors of 50405

List of positive integer factors of 50405 that divides 50405 without a remainder.

1, 5, 17, 85, 593, 2965, 10081

Step-4: Factors of 50410

List of positive integer factors of 50410 that divides 50405 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50405 and 50410. The biggest common factor number is the GCF number.
So the greatest common factor 50405 and 50410 is 5.

Also check out the Least Common Multiple of 50405 and 50410