What is the Greatest Common Factor of 18050 and 18055?

Greatest common factor (GCF) of 18050 and 18055 is 5.

GCF(18050,18055) = 5

We will now calculate the prime factors of 18050 and 18055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18050 and 18055.

How to find the GCF of 18050 and 18055?

We will first find the prime factorization of 18050 and 18055. After we will calculate the factors of 18050 and 18055 and find the biggest common factor number .

Step-1: Prime Factorization of 18050

Prime factors of 18050 are 2, 5, 19. Prime factorization of 18050 in exponential form is:

18050 = 2¹ × 5² × 19²

Step-2: Prime Factorization of 18055

Prime factors of 18055 are 5, 23, 157. Prime factorization of 18055 in exponential form is:

18055 = 5¹ × 23¹ × 157¹

Step-3: Factors of 18050

List of positive integer factors of 18050 that divides 18050 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 361, 475, 722, 950, 1805, 3610, 9025

Step-4: Factors of 18055

List of positive integer factors of 18055 that divides 18050 without a remainder.

1, 5, 23, 115, 157, 785, 3611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18050 and 18055. The biggest common factor number is the GCF number.
So the greatest common factor 18050 and 18055 is 5.

Also check out the Least Common Multiple of 18050 and 18055