What is the Greatest Common Factor of 18018 and 18032?

Greatest common factor (GCF) of 18018 and 18032 is 14.

GCF(18018,18032) = 14

We will now calculate the prime factors of 18018 and 18032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18018 and 18032.

How to find the GCF of 18018 and 18032?

We will first find the prime factorization of 18018 and 18032. After we will calculate the factors of 18018 and 18032 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 18032

Prime factors of 18032 are 2, 7, 23. Prime factorization of 18032 in exponential form is:

18032 = 2⁴ × 7² × 23¹

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 18032

List of positive integer factors of 18032 that divides 18018 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 49, 56, 92, 98, 112, 161, 184, 196, 322, 368, 392, 644, 784, 1127, 1288, 2254, 2576, 4508, 9016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18018 and 18032. The biggest common factor number is the GCF number.
So the greatest common factor 18018 and 18032 is 14.

Also check out the Least Common Multiple of 18018 and 18032