What is the Greatest Common Factor of 13086 and 13104?

Greatest common factor (GCF) of 13086 and 13104 is 18.

GCF(13086,13104) = 18

We will now calculate the prime factors of 13086 and 13104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13086 and 13104.

How to find the GCF of 13086 and 13104?

We will first find the prime factorization of 13086 and 13104. After we will calculate the factors of 13086 and 13104 and find the biggest common factor number .

Step-1: Prime Factorization of 13086

Prime factors of 13086 are 2, 3, 727. Prime factorization of 13086 in exponential form is:

13086 = 2¹ × 3² × 727¹

Step-2: Prime Factorization of 13104

Prime factors of 13104 are 2, 3, 7, 13. Prime factorization of 13104 in exponential form is:

13104 = 2⁴ × 3² × 7¹ × 13¹

Step-3: Factors of 13086

List of positive integer factors of 13086 that divides 13086 without a remainder.

1, 2, 3, 6, 9, 18, 727, 1454, 2181, 4362, 6543

Step-4: Factors of 13104

List of positive integer factors of 13104 that divides 13086 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 28, 36, 39, 42, 48, 52, 56, 63, 72, 78, 84, 91, 104, 112, 117, 126, 144, 156, 168, 182, 208, 234, 252, 273, 312, 336, 364, 468, 504, 546, 624, 728, 819, 936, 1008, 1092, 1456, 1638, 1872, 2184, 3276, 4368, 6552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13086 and 13104. The biggest common factor number is the GCF number.
So the greatest common factor 13086 and 13104 is 18.

Also check out the Least Common Multiple of 13086 and 13104