What is the Greatest Common Factor of 13728 and 13741?

Greatest common factor (GCF) of 13728 and 13741 is 13.

GCF(13728,13741) = 13

We will now calculate the prime factors of 13728 and 13741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13728 and 13741.

How to find the GCF of 13728 and 13741?

We will first find the prime factorization of 13728 and 13741. After we will calculate the factors of 13728 and 13741 and find the biggest common factor number .

Step-1: Prime Factorization of 13728

Prime factors of 13728 are 2, 3, 11, 13. Prime factorization of 13728 in exponential form is:

13728 = 2⁵ × 3¹ × 11¹ × 13¹

Step-2: Prime Factorization of 13741

Prime factors of 13741 are 7, 13, 151. Prime factorization of 13741 in exponential form is:

13741 = 7¹ × 13¹ × 151¹

Step-3: Factors of 13728

List of positive integer factors of 13728 that divides 13728 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 32, 33, 39, 44, 48, 52, 66, 78, 88, 96, 104, 132, 143, 156, 176, 208, 264, 286, 312, 352, 416, 429, 528, 572, 624, 858, 1056, 1144, 1248, 1716, 2288, 3432, 4576, 6864

Step-4: Factors of 13741

List of positive integer factors of 13741 that divides 13728 without a remainder.

1, 7, 13, 91, 151, 1057, 1963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13728 and 13741. The biggest common factor number is the GCF number.
So the greatest common factor 13728 and 13741 is 13.

Also check out the Least Common Multiple of 13728 and 13741