What is the Greatest Common Factor of 50200 and 50205?

Greatest common factor (GCF) of 50200 and 50205 is 5.

GCF(50200,50205) = 5

We will now calculate the prime factors of 50200 and 50205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50200 and 50205.

How to find the GCF of 50200 and 50205?

We will first find the prime factorization of 50200 and 50205. After we will calculate the factors of 50200 and 50205 and find the biggest common factor number .

Step-1: Prime Factorization of 50200

Prime factors of 50200 are 2, 5, 251. Prime factorization of 50200 in exponential form is:

50200 = 2³ × 5² × 251¹

Step-2: Prime Factorization of 50205

Prime factors of 50205 are 3, 5, 3347. Prime factorization of 50205 in exponential form is:

50205 = 3¹ × 5¹ × 3347¹

Step-3: Factors of 50200

List of positive integer factors of 50200 that divides 50200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 251, 502, 1004, 1255, 2008, 2510, 5020, 6275, 10040, 12550, 25100

Step-4: Factors of 50205

List of positive integer factors of 50205 that divides 50200 without a remainder.

1, 3, 5, 15, 3347, 10041, 16735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50200 and 50205. The biggest common factor number is the GCF number.
So the greatest common factor 50200 and 50205 is 5.

Also check out the Least Common Multiple of 50200 and 50205