What is the Greatest Common Factor of 18018 and 18029?

Greatest common factor (GCF) of 18018 and 18029 is 11.

GCF(18018,18029) = 11

We will now calculate the prime factors of 18018 and 18029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18018 and 18029.

How to find the GCF of 18018 and 18029?

We will first find the prime factorization of 18018 and 18029. After we will calculate the factors of 18018 and 18029 and find the biggest common factor number .

Step-1: Prime Factorization of 18018

Prime factors of 18018 are 2, 3, 7, 11, 13. Prime factorization of 18018 in exponential form is:

18018 = 2¹ × 3² × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 18029

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

18029 = 11² × 149¹

Step-3: Factors of 18018

List of positive integer factors of 18018 that divides 18018 without a remainder.

1, 2, 3, 6, 7, 9, 11, 13, 14, 18, 21, 22, 26, 33, 39, 42, 63, 66, 77, 78, 91, 99, 117, 126, 143, 154, 182, 198, 231, 234, 273, 286, 429, 462, 546, 693, 819, 858, 1001, 1287, 1386, 1638, 2002, 2574, 3003, 6006, 9009

Step-4: Factors of 18029

List of positive integer factors of 18029 that divides 18018 without a remainder.

1, 11, 121, 149, 1639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18018 and 18029. The biggest common factor number is the GCF number.
So the greatest common factor 18018 and 18029 is 11.

Also check out the Least Common Multiple of 18018 and 18029