What is the Greatest Common Factor of 13104 and 13124?

Greatest common factor (GCF) of 13104 and 13124 is 4.

GCF(13104,13124) = 4

We will now calculate the prime factors of 13104 and 13124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13104 and 13124.

How to find the GCF of 13104 and 13124?

We will first find the prime factorization of 13104 and 13124. After we will calculate the factors of 13104 and 13124 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 13124

Prime factors of 13124 are 2, 17, 193. Prime factorization of 13124 in exponential form is:

13124 = 2² × 17¹ × 193¹

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 13124

List of positive integer factors of 13124 that divides 13104 without a remainder.

1, 2, 4, 17, 34, 68, 193, 386, 772, 3281, 6562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13104 and 13124. The biggest common factor number is the GCF number.
So the greatest common factor 13104 and 13124 is 4.

Also check out the Least Common Multiple of 13104 and 13124