What is the Greatest Common Factor of 26158 and 26174?

Greatest common factor (GCF) of 26158 and 26174 is 2.

GCF(26158,26174) = 2

We will now calculate the prime factors of 26158 and 26174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26158 and 26174.

How to find the GCF of 26158 and 26174?

We will first find the prime factorization of 26158 and 26174. After we will calculate the factors of 26158 and 26174 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 26174

Prime factors of 26174 are 2, 23, 569. Prime factorization of 26174 in exponential form is:

26174 = 2¹ × 23¹ × 569¹

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 26174

List of positive integer factors of 26174 that divides 26158 without a remainder.

1, 2, 23, 46, 569, 1138, 13087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26158 and 26174. The biggest common factor number is the GCF number.
So the greatest common factor 26158 and 26174 is 2.

Also check out the Least Common Multiple of 26158 and 26174