What is the Greatest Common Factor of 18029 and 18036?

Greatest common factor (GCF) of 18029 and 18036 is 1.

GCF(18029,18036) = 1

We will now calculate the prime factors of 18029 and 18036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18029 and 18036.

How to find the GCF of 18029 and 18036?

We will first find the prime factorization of 18029 and 18036. After we will calculate the factors of 18029 and 18036 and find the biggest common factor number .

Step-1: Prime Factorization of 18029

Prime factors of 18029 are 11, 149. Prime factorization of 18029 in exponential form is:

18029 = 11² × 149¹

Step-2: 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-3: Factors of 18029

List of positive integer factors of 18029 that divides 18029 without a remainder.

1, 11, 121, 149, 1639

Step-4: Factors of 18036

List of positive integer factors of 18036 that divides 18029 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18029 and 18036. The biggest common factor number is the GCF number.
So the greatest common factor 18029 and 18036 is 1.

Also check out the Least Common Multiple of 18029 and 18036