What is the Greatest Common Factor of 18004 and 18018?

Greatest common factor (GCF) of 18004 and 18018 is 14.

GCF(18004,18018) = 14

We will now calculate the prime factors of 18004 and 18018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18004 and 18018.

How to find the GCF of 18004 and 18018?

We will first find the prime factorization of 18004 and 18018. After we will calculate the factors of 18004 and 18018 and find the biggest common factor number .

Step-1: Prime Factorization of 18004

Prime factors of 18004 are 2, 7, 643. Prime factorization of 18004 in exponential form is:

18004 = 2² × 7¹ × 643¹

Step-2: 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-3: Factors of 18004

List of positive integer factors of 18004 that divides 18004 without a remainder.

1, 2, 4, 7, 14, 28, 643, 1286, 2572, 4501, 9002

Step-4: Factors of 18018

List of positive integer factors of 18018 that divides 18004 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18004 and 18018. The biggest common factor number is the GCF number.
So the greatest common factor 18004 and 18018 is 14.

Also check out the Least Common Multiple of 18004 and 18018