What is the Greatest Common Factor of 13143 and 13156?

Greatest common factor (GCF) of 13143 and 13156 is 13.

GCF(13143,13156) = 13

We will now calculate the prime factors of 13143 and 13156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13143 and 13156.

How to find the GCF of 13143 and 13156?

We will first find the prime factorization of 13143 and 13156. After we will calculate the factors of 13143 and 13156 and find the biggest common factor number .

Step-1: Prime Factorization of 13143

Prime factors of 13143 are 3, 13, 337. Prime factorization of 13143 in exponential form is:

13143 = 3¹ × 13¹ × 337¹

Step-2: Prime Factorization of 13156

Prime factors of 13156 are 2, 11, 13, 23. Prime factorization of 13156 in exponential form is:

13156 = 2² × 11¹ × 13¹ × 23¹

Step-3: Factors of 13143

List of positive integer factors of 13143 that divides 13143 without a remainder.

1, 3, 13, 39, 337, 1011, 4381

Step-4: Factors of 13156

List of positive integer factors of 13156 that divides 13143 without a remainder.

1, 2, 4, 11, 13, 22, 23, 26, 44, 46, 52, 92, 143, 253, 286, 299, 506, 572, 598, 1012, 1196, 3289, 6578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13143 and 13156. The biggest common factor number is the GCF number.
So the greatest common factor 13143 and 13156 is 13.

Also check out the Least Common Multiple of 13143 and 13156