What is the Greatest Common Factor of 13138 and 13156?

Greatest common factor (GCF) of 13138 and 13156 is 2.

GCF(13138,13156) = 2

We will now calculate the prime factors of 13138 and 13156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13138 and 13156.

How to find the GCF of 13138 and 13156?

We will first find the prime factorization of 13138 and 13156. After we will calculate the factors of 13138 and 13156 and find the biggest common factor number .

Step-1: Prime Factorization of 13138

Prime factors of 13138 are 2, 6569. Prime factorization of 13138 in exponential form is:

13138 = 2¹ × 6569¹

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 13138

List of positive integer factors of 13138 that divides 13138 without a remainder.

1, 2, 6569

Step-4: Factors of 13156

List of positive integer factors of 13156 that divides 13138 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 13138 and 13156. The biggest common factor number is the GCF number.
So the greatest common factor 13138 and 13156 is 2.

Also check out the Least Common Multiple of 13138 and 13156