What is the Greatest Common Factor of 50125 and 50145?

Greatest common factor (GCF) of 50125 and 50145 is 5.

GCF(50125,50145) = 5

We will now calculate the prime factors of 50125 and 50145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50125 and 50145.

How to find the GCF of 50125 and 50145?

We will first find the prime factorization of 50125 and 50145. After we will calculate the factors of 50125 and 50145 and find the biggest common factor number .

Step-1: Prime Factorization of 50125

Prime factors of 50125 are 5, 401. Prime factorization of 50125 in exponential form is:

50125 = 5³ × 401¹

Step-2: Prime Factorization of 50145

Prime factors of 50145 are 3, 5, 3343. Prime factorization of 50145 in exponential form is:

50145 = 3¹ × 5¹ × 3343¹

Step-3: Factors of 50125

List of positive integer factors of 50125 that divides 50125 without a remainder.

1, 5, 25, 125, 401, 2005, 10025

Step-4: Factors of 50145

List of positive integer factors of 50145 that divides 50125 without a remainder.

1, 3, 5, 15, 3343, 10029, 16715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50125 and 50145. The biggest common factor number is the GCF number.
So the greatest common factor 50125 and 50145 is 5.

Also check out the Least Common Multiple of 50125 and 50145