What is the Greatest Common Factor of 50190 and 50200?

Greatest common factor (GCF) of 50190 and 50200 is 10.

GCF(50190,50200) = 10

We will now calculate the prime factors of 50190 and 50200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50190 and 50200.

How to find the GCF of 50190 and 50200?

We will first find the prime factorization of 50190 and 50200. After we will calculate the factors of 50190 and 50200 and find the biggest common factor number .

Step-1: Prime Factorization of 50190

Prime factors of 50190 are 2, 3, 5, 7, 239. Prime factorization of 50190 in exponential form is:

50190 = 2¹ × 3¹ × 5¹ × 7¹ × 239¹

Step-2: 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-3: Factors of 50190

List of positive integer factors of 50190 that divides 50190 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 239, 478, 717, 1195, 1434, 1673, 2390, 3346, 3585, 5019, 7170, 8365, 10038, 16730, 25095

Step-4: Factors of 50200

List of positive integer factors of 50200 that divides 50190 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50190 and 50200. The biggest common factor number is the GCF number.
So the greatest common factor 50190 and 50200 is 10.

Also check out the Least Common Multiple of 50190 and 50200