What is the Greatest Common Factor of 18018 and 18031?

Greatest common factor (GCF) of 18018 and 18031 is 13.

GCF(18018,18031) = 13

We will now calculate the prime factors of 18018 and 18031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18018 and 18031.

How to find the GCF of 18018 and 18031?

We will first find the prime factorization of 18018 and 18031. After we will calculate the factors of 18018 and 18031 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 18031

Prime factors of 18031 are 13, 19, 73. Prime factorization of 18031 in exponential form is:

18031 = 13¹ × 19¹ × 73¹

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 18031

List of positive integer factors of 18031 that divides 18018 without a remainder.

1, 13, 19, 73, 247, 949, 1387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18018 and 18031. The biggest common factor number is the GCF number.
So the greatest common factor 18018 and 18031 is 13.

Also check out the Least Common Multiple of 18018 and 18031