What is the Greatest Common Factor of 26131 and 26145?

Greatest common factor (GCF) of 26131 and 26145 is 7.

GCF(26131,26145) = 7

We will now calculate the prime factors of 26131 and 26145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26131 and 26145.

How to find the GCF of 26131 and 26145?

We will first find the prime factorization of 26131 and 26145. After we will calculate the factors of 26131 and 26145 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 26145

Prime factors of 26145 are 3, 5, 7, 83. Prime factorization of 26145 in exponential form is:

26145 = 3² × 5¹ × 7¹ × 83¹

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 26145

List of positive integer factors of 26145 that divides 26131 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 83, 105, 249, 315, 415, 581, 747, 1245, 1743, 2905, 3735, 5229, 8715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26131 and 26145. The biggest common factor number is the GCF number.
So the greatest common factor 26131 and 26145 is 7.

Also check out the Least Common Multiple of 26131 and 26145