What is the Greatest Common Factor of 13156 and 13169?

Greatest common factor (GCF) of 13156 and 13169 is 13.

GCF(13156,13169) = 13

We will now calculate the prime factors of 13156 and 13169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13156 and 13169.

How to find the GCF of 13156 and 13169?

We will first find the prime factorization of 13156 and 13169. After we will calculate the factors of 13156 and 13169 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13169

Prime factors of 13169 are 13, 1013. Prime factorization of 13169 in exponential form is:

13169 = 13¹ × 1013¹

Step-3: Factors of 13156

List of positive integer factors of 13156 that divides 13156 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

Step-4: Factors of 13169

List of positive integer factors of 13169 that divides 13156 without a remainder.

1, 13, 1013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13156 and 13169. The biggest common factor number is the GCF number.
So the greatest common factor 13156 and 13169 is 13.

Also check out the Least Common Multiple of 13156 and 13169