What is the Greatest Common Factor of 26158 and 26168?

Greatest common factor (GCF) of 26158 and 26168 is 2.

GCF(26158,26168) = 2

We will now calculate the prime factors of 26158 and 26168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26158 and 26168.

How to find the GCF of 26158 and 26168?

We will first find the prime factorization of 26158 and 26168. After we will calculate the factors of 26158 and 26168 and find the biggest common factor number .

Step-1: Prime Factorization of 26158

Prime factors of 26158 are 2, 11, 29, 41. Prime factorization of 26158 in exponential form is:

26158 = 2¹ × 11¹ × 29¹ × 41¹

Step-2: Prime Factorization of 26168

Prime factors of 26168 are 2, 3271. Prime factorization of 26168 in exponential form is:

26168 = 2³ × 3271¹

Step-3: Factors of 26158

List of positive integer factors of 26158 that divides 26158 without a remainder.

1, 2, 11, 22, 29, 41, 58, 82, 319, 451, 638, 902, 1189, 2378, 13079

Step-4: Factors of 26168

List of positive integer factors of 26168 that divides 26158 without a remainder.

1, 2, 4, 8, 3271, 6542, 13084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26158 and 26168. The biggest common factor number is the GCF number.
So the greatest common factor 26158 and 26168 is 2.

Also check out the Least Common Multiple of 26158 and 26168