What is the Greatest Common Factor of 13145 and 13156?

Greatest common factor (GCF) of 13145 and 13156 is 11.

GCF(13145,13156) = 11

We will now calculate the prime factors of 13145 and 13156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13145 and 13156.

How to find the GCF of 13145 and 13156?

We will first find the prime factorization of 13145 and 13156. After we will calculate the factors of 13145 and 13156 and find the biggest common factor number .

Step-1: Prime Factorization of 13145

Prime factors of 13145 are 5, 11, 239. Prime factorization of 13145 in exponential form is:

13145 = 5¹ × 11¹ × 239¹

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 13145

List of positive integer factors of 13145 that divides 13145 without a remainder.

1, 5, 11, 55, 239, 1195, 2629

Step-4: Factors of 13156

List of positive integer factors of 13156 that divides 13145 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 13145 and 13156. The biggest common factor number is the GCF number.
So the greatest common factor 13145 and 13156 is 11.

Also check out the Least Common Multiple of 13145 and 13156