What is the Greatest Common Factor of 18050 and 18064?

Greatest common factor (GCF) of 18050 and 18064 is 2.

GCF(18050,18064) = 2

We will now calculate the prime factors of 18050 and 18064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18050 and 18064.

How to find the GCF of 18050 and 18064?

We will first find the prime factorization of 18050 and 18064. After we will calculate the factors of 18050 and 18064 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 18064

Prime factors of 18064 are 2, 1129. Prime factorization of 18064 in exponential form is:

18064 = 2⁴ × 1129¹

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 18064

List of positive integer factors of 18064 that divides 18050 without a remainder.

1, 2, 4, 8, 16, 1129, 2258, 4516, 9032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18050 and 18064. The biggest common factor number is the GCF number.
So the greatest common factor 18050 and 18064 is 2.

Also check out the Least Common Multiple of 18050 and 18064