What is the Greatest Common Factor of 18130 and 18140?

Greatest common factor (GCF) of 18130 and 18140 is 10.

GCF(18130,18140) = 10

We will now calculate the prime factors of 18130 and 18140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18130 and 18140.

How to find the GCF of 18130 and 18140?

We will first find the prime factorization of 18130 and 18140. After we will calculate the factors of 18130 and 18140 and find the biggest common factor number .

Step-1: Prime Factorization of 18130

Prime factors of 18130 are 2, 5, 7, 37. Prime factorization of 18130 in exponential form is:

18130 = 2¹ × 5¹ × 7² × 37¹

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 18130

List of positive integer factors of 18130 that divides 18130 without a remainder.

1, 2, 5, 7, 10, 14, 35, 37, 49, 70, 74, 98, 185, 245, 259, 370, 490, 518, 1295, 1813, 2590, 3626, 9065

Step-4: Factors of 18140

List of positive integer factors of 18140 that divides 18130 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 18130 and 18140. The biggest common factor number is the GCF number.
So the greatest common factor 18130 and 18140 is 10.

Also check out the Least Common Multiple of 18130 and 18140