What is the Greatest Common Factor of 50275 and 50280?

Greatest common factor (GCF) of 50275 and 50280 is 5.

GCF(50275,50280) = 5

We will now calculate the prime factors of 50275 and 50280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50275 and 50280.

How to find the GCF of 50275 and 50280?

We will first find the prime factorization of 50275 and 50280. After we will calculate the factors of 50275 and 50280 and find the biggest common factor number .

Step-1: Prime Factorization of 50275

Prime factors of 50275 are 5, 2011. Prime factorization of 50275 in exponential form is:

50275 = 5² × 2011¹

Step-2: Prime Factorization of 50280

Prime factors of 50280 are 2, 3, 5, 419. Prime factorization of 50280 in exponential form is:

50280 = 2³ × 3¹ × 5¹ × 419¹

Step-3: Factors of 50275

List of positive integer factors of 50275 that divides 50275 without a remainder.

1, 5, 25, 2011, 10055

Step-4: Factors of 50280

List of positive integer factors of 50280 that divides 50275 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 419, 838, 1257, 1676, 2095, 2514, 3352, 4190, 5028, 6285, 8380, 10056, 12570, 16760, 25140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50275 and 50280. The biggest common factor number is the GCF number.
So the greatest common factor 50275 and 50280 is 5.

Also check out the Least Common Multiple of 50275 and 50280