What is the Greatest Common Factor of 18125 and 18140?

Greatest common factor (GCF) of 18125 and 18140 is 5.

GCF(18125,18140) = 5

We will now calculate the prime factors of 18125 and 18140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18125 and 18140.

How to find the GCF of 18125 and 18140?

We will first find the prime factorization of 18125 and 18140. After we will calculate the factors of 18125 and 18140 and find the biggest common factor number .

Step-1: Prime Factorization of 18125

Prime factors of 18125 are 5, 29. Prime factorization of 18125 in exponential form is:

18125 = 5⁴ × 29¹

Step-2: Prime Factorization of 18140

Prime factors of 18140 are 2, 5, 907. Prime factorization of 18140 in exponential form is:

18140 = 2² × 5¹ × 907¹

Step-3: Factors of 18125

List of positive integer factors of 18125 that divides 18125 without a remainder.

1, 5, 25, 29, 125, 145, 625, 725, 3625

Step-4: Factors of 18140

List of positive integer factors of 18140 that divides 18125 without a remainder.

1, 2, 4, 5, 10, 20, 907, 1814, 3628, 4535, 9070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18125 and 18140. The biggest common factor number is the GCF number.
So the greatest common factor 18125 and 18140 is 5.

Also check out the Least Common Multiple of 18125 and 18140