What is the Greatest Common Factor of 18036 and 18050?

Greatest common factor (GCF) of 18036 and 18050 is 2.

GCF(18036,18050) = 2

We will now calculate the prime factors of 18036 and 18050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18036 and 18050.

How to find the GCF of 18036 and 18050?

We will first find the prime factorization of 18036 and 18050. After we will calculate the factors of 18036 and 18050 and find the biggest common factor number .

Step-1: Prime Factorization of 18036

Prime factors of 18036 are 2, 3, 167. Prime factorization of 18036 in exponential form is:

18036 = 2² × 3³ × 167¹

Step-2: 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-3: Factors of 18036

List of positive integer factors of 18036 that divides 18036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 4509, 6012, 9018

Step-4: Factors of 18050

List of positive integer factors of 18050 that divides 18036 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18036 and 18050. The biggest common factor number is the GCF number.
So the greatest common factor 18036 and 18050 is 2.

Also check out the Least Common Multiple of 18036 and 18050