What is the Greatest Common Factor of 50125 and 50140?

Greatest common factor (GCF) of 50125 and 50140 is 5.

GCF(50125,50140) = 5

We will now calculate the prime factors of 50125 and 50140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50125 and 50140.

How to find the GCF of 50125 and 50140?

We will first find the prime factorization of 50125 and 50140. After we will calculate the factors of 50125 and 50140 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 50140

Prime factors of 50140 are 2, 5, 23, 109. Prime factorization of 50140 in exponential form is:

50140 = 2² × 5¹ × 23¹ × 109¹

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 50140

List of positive integer factors of 50140 that divides 50125 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 109, 115, 218, 230, 436, 460, 545, 1090, 2180, 2507, 5014, 10028, 12535, 25070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50125 and 50140. The biggest common factor number is the GCF number.
So the greatest common factor 50125 and 50140 is 5.

Also check out the Least Common Multiple of 50125 and 50140