What is the Greatest Common Factor of 13156 and 13174?

Greatest common factor (GCF) of 13156 and 13174 is 2.

GCF(13156,13174) = 2

We will now calculate the prime factors of 13156 and 13174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13156 and 13174.

How to find the GCF of 13156 and 13174?

We will first find the prime factorization of 13156 and 13174. After we will calculate the factors of 13156 and 13174 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 13174

Prime factors of 13174 are 2, 7, 941. Prime factorization of 13174 in exponential form is:

13174 = 2¹ × 7¹ × 941¹

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 13174

List of positive integer factors of 13174 that divides 13156 without a remainder.

1, 2, 7, 14, 941, 1882, 6587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13156 and 13174. The biggest common factor number is the GCF number.
So the greatest common factor 13156 and 13174 is 2.

Also check out the Least Common Multiple of 13156 and 13174