What is the Greatest Common Factor of 13104 and 13118?

Greatest common factor (GCF) of 13104 and 13118 is 14.

GCF(13104,13118) = 14

We will now calculate the prime factors of 13104 and 13118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13104 and 13118.

How to find the GCF of 13104 and 13118?

We will first find the prime factorization of 13104 and 13118. After we will calculate the factors of 13104 and 13118 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13118

Prime factors of 13118 are 2, 7, 937. Prime factorization of 13118 in exponential form is:

13118 = 2¹ × 7¹ × 937¹

Step-3: Factors of 13104

List of positive integer factors of 13104 that divides 13104 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

Step-4: Factors of 13118

List of positive integer factors of 13118 that divides 13104 without a remainder.

1, 2, 7, 14, 937, 1874, 6559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13104 and 13118. The biggest common factor number is the GCF number.
So the greatest common factor 13104 and 13118 is 14.

Also check out the Least Common Multiple of 13104 and 13118