What is the Greatest Common Factor of 13104 and 13117?

Greatest common factor (GCF) of 13104 and 13117 is 13.

GCF(13104,13117) = 13

We will now calculate the prime factors of 13104 and 13117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13104 and 13117.

How to find the GCF of 13104 and 13117?

We will first find the prime factorization of 13104 and 13117. After we will calculate the factors of 13104 and 13117 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 13117

Prime factors of 13117 are 13, 1009. Prime factorization of 13117 in exponential form is:

13117 = 13¹ × 1009¹

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 13117

List of positive integer factors of 13117 that divides 13104 without a remainder.

1, 13, 1009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13104 and 13117. The biggest common factor number is the GCF number.
So the greatest common factor 13104 and 13117 is 13.

Also check out the Least Common Multiple of 13104 and 13117