What is the Greatest Common Factor of 26138 and 26158?

Greatest common factor (GCF) of 26138 and 26158 is 2.

GCF(26138,26158) = 2

We will now calculate the prime factors of 26138 and 26158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26138 and 26158.

How to find the GCF of 26138 and 26158?

We will first find the prime factorization of 26138 and 26158. After we will calculate the factors of 26138 and 26158 and find the biggest common factor number .

Step-1: Prime Factorization of 26138

Prime factors of 26138 are 2, 7, 1867. Prime factorization of 26138 in exponential form is:

26138 = 2¹ × 7¹ × 1867¹

Step-2: 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-3: Factors of 26138

List of positive integer factors of 26138 that divides 26138 without a remainder.

1, 2, 7, 14, 1867, 3734, 13069

Step-4: Factors of 26158

List of positive integer factors of 26158 that divides 26138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26138 and 26158. The biggest common factor number is the GCF number.
So the greatest common factor 26138 and 26158 is 2.

Also check out the Least Common Multiple of 26138 and 26158