What is the Greatest Common Factor of 50200 and 50220?

Greatest common factor (GCF) of 50200 and 50220 is 20.

GCF(50200,50220) = 20

We will now calculate the prime factors of 50200 and 50220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50200 and 50220.

How to find the GCF of 50200 and 50220?

We will first find the prime factorization of 50200 and 50220. After we will calculate the factors of 50200 and 50220 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 50220

Prime factors of 50220 are 2, 3, 5, 31. Prime factorization of 50220 in exponential form is:

50220 = 2² × 3⁴ × 5¹ × 31¹

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 50220

List of positive integer factors of 50220 that divides 50200 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 31, 36, 45, 54, 60, 62, 81, 90, 93, 108, 124, 135, 155, 162, 180, 186, 270, 279, 310, 324, 372, 405, 465, 540, 558, 620, 810, 837, 930, 1116, 1395, 1620, 1674, 1860, 2511, 2790, 3348, 4185, 5022, 5580, 8370, 10044, 12555, 16740, 25110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50200 and 50220. The biggest common factor number is the GCF number.
So the greatest common factor 50200 and 50220 is 20.

Also check out the Least Common Multiple of 50200 and 50220