What is the Greatest Common Factor of 26131 and 26138?

Greatest common factor (GCF) of 26131 and 26138 is 7.

GCF(26131,26138) = 7

We will now calculate the prime factors of 26131 and 26138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26131 and 26138.

How to find the GCF of 26131 and 26138?

We will first find the prime factorization of 26131 and 26138. After we will calculate the factors of 26131 and 26138 and find the biggest common factor number .

Step-1: Prime Factorization of 26131

Prime factors of 26131 are 7, 3733. Prime factorization of 26131 in exponential form is:

26131 = 7¹ × 3733¹

Step-2: 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-3: Factors of 26131

List of positive integer factors of 26131 that divides 26131 without a remainder.

1, 7, 3733

Step-4: Factors of 26138

List of positive integer factors of 26138 that divides 26131 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26131 and 26138. The biggest common factor number is the GCF number.
So the greatest common factor 26131 and 26138 is 7.

Also check out the Least Common Multiple of 26131 and 26138